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Prompting Large Language Models
With the Socratic Method
Edward Y. Chang
Computer Science, Stanford University
echang@cs.stanford.edu
Abstract—This paper presents a systematic approach to
using the Socratic method in developing prompt templates
that effectively interact with large language models, including
GPT-3. Various methods are examined, and those that yield
precise answers and justifications while fostering creativity and
imagination to enhance creative writing are identified. Techniques
such as definition,elenchus,dialectic,maieutics,generalization,
and counterfactual reasoning are discussed for their application
in engineering prompt templates and their connections to
inductive, deductive, and abductive reasoning. Through examples,
the effectiveness of these dialogue and reasoning methods is
demonstrated. An interesting observation is made that when the
task’s goal and user intent are conveyed to GPT-3 via ChatGPT
before the start of a dialogue, the large language model seems
to connect to the external context expressed in the intent and
perform more effectively.
Index Terms—large language model, natural language process-
ing, prompting, the Socratic method.
I. INTRODUCTION
Prompting is a technique used to guide the output generation
of a pre-trained language model such as GPT-3 [
2
]. This is
achieved by providing input in the form of a question or
template, which helps to generate specific responses such as
Q&A, document summarization, and translations. The advent
of ChatGPT [
11
,
23
,
41
] has revolutionized the field of NLP by
demonstrating the potential of using large pre-trained language
models with prompting. Despite this progress, there is still
room for improvement in current prompting strategies and
techniques, especially for specific target applications. In this
study, we investigate the Socratic method [42, 40] to identify
and evaluate potential prompting strategies, and use the findings
to design effective prompt templates.
Traditional NLP tasks involve various sub-tasks, such as
named entity recognition, dependency parsing, coreference res-
olution [
8
], semantic parsing [
25
,
9
], and more, to comprehend
the meaning of a sentence. By utilizing prompt templates with
large language models (LLMs), these sub-tasks can be delegated
to the LLM, freeing the template to focus specifically on
dialogue design. In this regard, the Socratic method [
31
] holds
significant relevance, as it is well-known for using questioning
(prompting) as a means of promoting critical thinking and
delving into complex concepts [10].
The Socratic method has a long history of being regarded
as the basis of critical thinking. However, some recent studies
have cast doubt on its effectiveness in practice. In his paper
“Socratic Irony and Argumentation,” Airaksinen [
1
] criticizes
the method for its rigidly defined roles of teacher and student,
which can lead to fear of not meeting the teacher’s expectations
and reluctance to participate. Similarly, Stoddard’s “The Use
of Socratic Questioning in Clinical Teaching” [
35
] highlights
the risk of the method being misused in a manner that lacks
psychological safety for students. Fortunately, when using the
Socratic method in a dialogue with an LLM, the absence of
emotions and sarcasm, as well as the option to deactivate the
model, can alleviate many of the problems associated with
human interaction.
This study starts by presenting an overview of the Socratic
method’s strategies and techniques. To begin, we list ten
widely referenced methods [
3
] under the Socratic method
umbrella and use hypothesis elimination to identify the most
relevant ones for our goal of prompt-template development.
The selected methods are definition, hypothesis elimination,
elenchus, dialectic, maieutics, generalization, and induction.
Furthermore, we add to the list counterfactual reasoning, which
is a concept in logic that involves considering what might have
happened if a particular event had occurred differently. We
then perform experiments using GPT-3 to test and evaluate
these methods, and offer suggestions for incorporating these
strategies and techniques into prompt templates.
In their work on “Critical Thinking: The Art of Socratic
Questioning,” Paul and Elder identify three types of Socratic
questioning: spontaneous, exploratory, and focused [
27
]. We
will not discuss spontaneous questioning, as it is similar to
casual conversation. Focused questioning (type 2), on the
other hand, is geared towards gaining knowledge and truth,
and methods such as definition,elenchus (cross-examination),
hypothesis elimination,dialectic, and generalization hold great
potential for developing effective prompting strategies and
improving the response accuracy of a large language model
(LLM). An interesting observation is that when the user intent
is conveyed to GPT-3 during the task definition stage, before the
start of a dialogue, the LLM seems to connect to the external
context expressed in the intent and perform more effectively.
(Table V provides an example of pre-dialogue warm-up. More
examples are documented in [5].)
Additionally, exploratory thinking (type 3) can be supported
through the maieutics (midwife) method, induction, and coun-
terfactual reasoning, which can guide GPT-3 towards producing
imaginative and creative writing. While many of the plot
suggestions generated by GPT-3’s exploration may not be
useful, a few unique recommendations in response to a "what
979-8-3503-3286-5/23/$31.00 ©2023 IEEE
if" query can stimulate the writer’s imagination and lead to
remarkable results. When applied effectively, these methods
can turn an LLM into a writer’s muse, providing inspiration
and guiding the creative process [36].
The main contributions of this paper are as follows:
•
An overview of the Socratic method’s strategies, their
evaluation, and selection of the most relevant ones for the
development of effective prompt templates.
•
An examination of how the definition, elenchus, hypothesis
elimination, dialectic, and generalization methods can improve
the output’s accuracy and conciseness through clarification
and verification.
•
An illustration of how maieutics, induction, and counter-
factual reasoning can foster productive generalization and
creativity.
The remainder of this paper is structured into five sections.
Section II provides a review of related work on prompting
methods in natural language processing. In Section III, we
introduce the ten strategies and methods taught by Socrates
and used in Plato’s “Dialogues.” From these, we select relevant
methods along with counterfactual reasoning as our focus for
developing prompting templates. Section IV details how we
engineer these methods into our templates to improve output
correctness and stimulate creative writing. In Section V, we
present a pilot study. Finally, in Section VI, we present our
concluding remarks.
II. RE LATE D WOR K
The use of transformer architecture [
37
] and masked data for
pre-training large language models (LLMs) in an unsupervised
setting has become the approach in natural language processing
[
7
,
19
]. The method involves pre-training an LLM on a large
text corpus, followed by fine-tuning for specific tasks.
Prompting is a recent innovation in the field, popularized by
OpenAI, especially with the release of GPT-3 in 2020. Instead
of fine-tuning the model for a specific task, the approach
involves providing a specific input, or “prompt,” to guide the
LLM’s output generation, resulting in greater flexibility and
efficiency in generating a wide range of responses.
However, designing effective prompt templates remains a
challenge [
22
], as it requires a deep understanding of the
interplay between the LLM and the prompt. According to the
survey paper [
43
], there are several factors that impact prompt
template engineering, including the type of LLM used, manual
vs automatic design, and static vs continuous prompts.
•
Left-to-right vs masked LLMs. For tasks related to gener-
ation or tasks solved using a standard left-to-right language
model [
2
], prefix prompts tend to perform better, as they align
with the model’s left-to-right nature. For tasks solved using
masked language models [
7
], cloze prompts are more suitable,
as they closely match the pre-training task form.
•
Manual vs automatic design. A prompt template should
be tailored to the specific LLM. While manual design may
be suitable in the initial flow-design phase, dependencies
between the input and expected output, and their variations,
should be mined automatically [
15
]. Automation can also help
in paraphrasing the seed prompt to support various mined
dependency patterns, but mistakes can occur [12].
•
Discrete vs continuous prompts. Discrete prompts involve
providing a fixed set of pre-determined input choices to an
LLM. Continuous prompts, on the other hand, involve a
dialogue or conversation between the model and the user,
allowing for a more dynamic and interactive experience.
More advanced templates can be constructed by combining
basic templates with techniques like ensemble methods [
34
].
This involves forming a committee of basic templates that
ask the same question using different phrasing [
13
]. Most
current prompt templates generate short outputs, such as class
labels, or outputs with a length that can be predicted based
on the task and input, like in the case of translation. However,
for tasks that may generate longer or open-ended outputs,
additional considerations may be necessary during the template
engineering process.
One approach for generating longer outputs is explanation-
based prompting, as proposed by the chain-of-thought method
[
39
]. This method generates a sequence of explanations before
inferring the answer. However, when dealing with simple math
problems, this approach has an error rate of
47%
. To address
the inconsistency issues of explanation-based prompting, [
16
]
formulates the problem as a satisfiability problem, which
defers inference until a tree of explanations has been expanded
abductively (explaining both truth and false branches) and
recursively. However, using abductive reasoning alone is often
considered weak, incoherent, and even nonexistent [
14
,
32
].
To improve consistency, a recent work [
38
] extends the chain-
of-thought approach by adding a diverse set of reasoning paths
and performing majority voting among them. This method can
be viewed as an ensemble method, but it does not alter the
nature of abductive reasoning.
In contrast, the Socratic method aims to employ deductive,
inductive, and abductive reasoning to ensure consistency and
accuracy of inference. The Socratic method deals with all
aspects of critical thinking, including definition clarification
and cross-examination. This comprehensive approach to tem-
plate engineering can lead to improved output quality and
consistency.
The primary objective of this study is to design continuous
prompts that enhance response quality and foster guided creativ-
ity in generative tasks, such as verifying information, evaluating
source credibility, proposing alternatives, recommending plot
ideas in creative writing, and generating task-specific surprises.
Our approach involves investigating strategies and methods
within the Socratic method, and selecting the most relevant
ones for further exploration.
As discussed in Section I, Socratic questioning can be
classified into three categories: spontaneous, exploratory, and
focused [
27
]. When designing a prompt, it is important to
consider the category and utilize the most suitable strategies
and techniques to achieve the best results.
III. THE SO CR ATIC M ET HO D
The Socratic method is a questioning technique used in
teaching and philosophy to encourage critical thinking and
self-discovery [
40
]. The method involves asking a series of
questions to explore complex ideas and help individuals arrive
at their own understanding of a concept. It is based on the
belief that knowledge cannot be simply imparted, but must be
discovered through a process of questioning and dialogue.
Some of the Socratic method’s key principles and guidelines
to conduct critical thinking include:
•
Posing open-ended questions: The teacher or facilitator starts
with a question to stimulate thinking and draw out ideas.
•
Clarifying key terms: The teacher helps the students clarify
and define relevant terms and concepts to ensure everyone is
on the same page.
•
Providing examples and evidence: The teacher or facilitator
encourages the students to provide examples and evidence as
reasons to support their claims.
•
Challenging reason-to-conclusion argument: The teacher or
facilitator challenges the students’ arguments and encourages
them to question their own beliefs and to consider alternative
perspectives.
•
Summarizing and drawing conclusions: The teacher helps
the students summarize and draw conclusions from the
discussion.
•
Reflecting on the process: The teacher and students reflect
on the effectiveness of the method and what they learned
through the dialogue.
These principles of the Socratic method are realized through
various methods and strategies. (Note the term “method” are
used at the abstract level referring to the Socratic teaching
through questioning method, and his specific questioning
techniques.) Some well-known examples of the Socratic method
in action include Plato’s “Dialogues” and “Republic” [
42
],
where Socrates uses questioning to explore complex ideas and
stimulate critical thinking in his interlocutors.
1.
Definition: Socrates is known for his use of definition to
clarify and explain the meaning of key terms and concepts.
2.
Generalization: This method draws general principles from
patterns that underlie observations and theories. General-
ization is used to form more certain and comprehensive
conclusions.
3.
Induction: Similar to generalization, but induction is based
only on empirical evidence. Inductive reasoning provides
hypotheses with high uncertainty.
4.
Elenchus: This method involves cross-examination, where
a series of questions is used to test the consistency and
coherence of hypotheses and beliefs. Elenchus aims to test
the validity of someone’s arguments and to help them refine
their thinking and eventually come up with well-supported
hypotheses.
5.
Hypothesis Elimination: This method involves eliminating
false hypotheses and beliefs by testing them against coun-
terexamples and logical reasoning. Different from method
elenchus, hypothesis elimination tests a hypothesis against
evidence and logic to determine if it is true or false.
6.
Maieutics: This method involves helping individuals bring
out the knowledge and understanding they already possess.
Maieutics is conducted by asking questions that encourage
the person to reflect on their own experience, knowledge,
beliefs and to explore alternative perspectives. Maieutics
fosters self-discovery, creative writing, and innovation.
7.
Dialectic: This method involves exploring opposing view-
points through dialogue or debate to arrive at a deeper
understanding of a subject.
8.
Recollection: This method involves the belief that knowledge
is innate, and that people can remember what they already
know through a process of questioning.
9.
Irony: This method involves exposing ignorance and pre-
tensions through irony, and pointing out the gap between
claims and true understanding.
10.
Analogy: This method involves comparing and contrasting
different concepts through analogies, in order to help
individuals understand complex ideas.
At first glance, some reasoning methods may seem similar.
For example, both induction and generalization use inductive
reasoning, while both elenchus and hypothesis elimination use
deductive reasoning. Similarly, methods like definition and
dialectic use both inductive and deductive reasoning to explore
opposing viewpoints through dialogue or debate. However, it is
important to note that these methods have distinct differences,
which will be discussed later in this paper.
In the context of critical thinking, methods like definition,
elenchus, dialectic, hypothesis elimination, and generalization
play active roles. On the other hand, during the brainstorming
stage or in the context of creative thinking, methods like
maieutics, induction, and counterfactual thinking are more
relevant.
Analogy, irony, and recollection, are less relevant to our
goal, so we do not consider them. Irony and analogy may not
be necessary when working with language models, as these
models may not understand figurative language. Recollection
is limited by the memory of ChatGPT and GPT-3, which is
a context window of
4k
and
8k
, respectively. The prompter
must use this limited space as context to allow the language
model to recall information.
A. Illustrative Critical Reading Example
To illustrate how these methods can practically be applied,
let’s use the example of critical reading. Critical reading
is a crucial component of critical thinking, which involves
evaluating the quality and credibility of written materials, from
research papers to blog posts [
18
,
26
]. It requires a systematic
and analytical approach, asking relevant questions, and using
effective prompts to gain deeper understanding of the text [
10
].
To aid in critical reading, we introduce a template called
CRIT [
5
], which stands for Critical Reading Inquisitive
Template
1
. Given a document
d
, CRIT evaluates it and produces
a validation score
Γ
. Let
Ω
denote the conclusion or claim of
d
, and let
R
be the set of reasons supporting the claim. We
define (
γr, θr
) = V(
r⇒Ω
) as the causal validation function,
where
γr
denotes the validation score,
θr
the source credibility
1
It is important to note that the CRIT template presented here is intended
for analyzing research, opinion, and news articles, and is not suitable for
analyzing literature such as novels, prose, or poetry. Each type of literary work
has its unique style and nature, which require tailored prompts to facilitate
effective analysis.
Function Γ= CRIT(d)
Input.d: document; Output.Γ: validation score;
Vars.Ω: claim; R&R′: reason & counter reason set;
Subroutines.Claim(), F indDoc(), V alidate();
Begin
#1 Identify in dthe claim statement Ω;
#2 Find a set of supporting reasons Rto Ω;
#3 For r∈Reval r⇒Ω
If Claim(r), (γr,θr) = CRIT(F indD oc(r));
else, (γr,θr) = V(r⇒Ω);
#4 Find a set of rival reasons R′to Ω;
#5
For
r′∈R′
, (
γr′
,
θr′
) = V(
r′⇒Ω
) eval rival arguments;
#6 Compute weighted sum Γ, with γr,θr,γr′,θr′.
#7 Analyze the arguments to arrive at the Γscore.
#8 Reflect on and synthesize CRIT in other contexts.
End
Table I: CRIT Pseudo-code [
5
]. (The symbol
⇒
denotes both
inductive and deductive reasoning.)
score, for each reason-to-conclusion argument
r⇒Ω
. Table I
presents the pseudo-code of
Γ
= CRIT(
d
), which generates the
final validation score Γfor document dwith justifications.
In the following subsections, we will discuss how CRIT
uses these five methods: 1) definition, 2) elenchus, 3) dialectic,
4) maieutics, and 5) counterfactual thinking.
B. Method of Definition
As shown in the pseudocode in Table I, the CRIT algorithm
starts in its step
#1
, asking GPT-3 to identify the conclusion
of a document. To avoid any misunderstandings, the prompt
includes a clear instruction and definition. (In the square
brackets, symbol in denotes a input slot to an LLM and out
the output slot.)
p1.1 “What is the conclusion in document [in: d] [out: Ω]?
The conclusion statement may be written in the last
paragraph, near keywords "in conclusion," "in summary,"
or "therefore."”
We can use the definition method to improve the understand-
ing of the document. One approach is paraphrasing the prompt
into multiple prompts and grouping them into an ensemble,
similar to forming a thesis committee. (Section IV presents
prompt ensemble in details.) Different members can phrase
the same question in different ways or ask it from a different
perspective. For example:
p1.2 “What is the issue addressed by [in: d] [out: Ω]?”
p1.3
“What is the most important outcome presented in text
[in: d]? [out: Ω]”
Step
#2
in Table I prompts GPT-3 to find a set of
supporting reasons. To further enhance the accuracy and
comprehensiveness of the results, the prompt can ask for not
only “reasons” but also “theories,”“evidences,” or “opinions”
to query for the document’s support to its conclusion, similar
to the ensemble method.
p2
“What are the supporting reasons [out:
R
] of conclusion
[in:
Ω
] of [in:
d
]? A reason can be a theory evidence or
opinion.”
C. Method of Elenchus
The method of elenchus is rooted in the Greek word
“elenchein,” which translates to examine. This method involves
cross-examining the results generated by GPT-3 to evaluate
the consistency and coherence of the arguments. The goal is to
arrive at a deeper understanding of the validity of the reasons
and conclusion, and to identify any potential weaknesses or
flaws in the arguments.
Step
#3
of the CRIT algorithm prompts GPT-3 to assess the
validity of each reason
r∈R
as justification for the conclusion
Ω
through the function V(
r⇒Ω
). To validate the reason-to-
conclusion argument, CRIT must evaluate the presented reason
and its causal relationship with the conclusion and conduct
cross examination, which is precisely the task of the method
of elenchus.
CRIT issues four prompts in step
#3
to evaluate the logic
validity and source credibility of the
r⇒Ω
reasoning. CRIT
first elicits supporting evidence for reason
r∈R
. This evidence
can be a theory, an opinion, statistics, or a claim obtained from
other sources. If the reason itself is a claim, then the sources that
the claim is based on are recursively examined. The strength
of the argument and its source credibility are rated on a scale
of 1to 10, with 10 being the strongest.
p3.1
“What is the evidence for reason [in:
r
] to support
conclusion [in:
Ω
] in document [in:
d
]? [out: evidence]”
p3.2
“What is the type of evidence? A) a theory, B) an opinion,
C) statistics, or D) a claim from other sources?”
p3.3
“If the evidence of reason [in:
r
] is D), call CRIT
recursively”
p3.4
“How strongly does reason [in:
r
] support [in:
Ω
] in
document [in:
d
]? Rate argument validity [out:
γr
] and
source credibility [out:
θr
] between
1
and
10
(strongest).”
It may be beneficial to also incorporate the counter-argument
method in order to gain a more comprehensive and balanced
evaluation of the argument. This can result in a deeper under-
standing of the topic being discussed. We will be discussing
this further in the next section.
D. Method of Dialectic
The easiest way to mislead without lying outright is to leave
out critical counterarguments from the reader. CRIT relies on
GPT-3 to generate and evaluate counter arguments, similar to
how it prompts GPT-3 to extract and evaluate reasons.
CRIT in its step
#4
asks GPT-3 to provide missing rival
reasons, and then pair rival reasons with the conclusion to
conduct validation. There are two strategies to bring counter
arguments to the surface. The first strategy attacks the weakest
arguments with the lowest scores and asking GPT-3 to attack
those arguments.
p4
“Is there a counterargument against [in:
r⇒Ω
]? If so,
provide counter reasons [output R′].”
p5
Similar to p3, except for replacing argument
r
with rival
argument r′.
For finding omitted information, CRIT can query GPT-3
without quoting any r∈R, and follow the same process.
Next, in step
#6
, CRIT computes an aggregated score by
performing a weighted sum on the validation multiplied by
the credibility scores of both arguments and counterarguments,
and then outputs the final assessment score Γ.
p6
“Final score [out:
Γ
].
Γ = Pr∈R∪R′γr×θr/|R∪R′|
.
E. Method of Maieutics
The maieutic method derives from the Greek word “maieu-
tikos,” meaning midwife. It is founded on the belief that a
teacher’s role is to facilitate students in bringing forth their
own understanding of a subject, rather than simply conveying
knowledge. Unlike the elenctic method, which aims to detect
and eliminate false hypotheses, maieutics centers on helping
students reveal their own understanding of a subject. In this
dialogical method, the teacher asks questions that are intended
to guide the student in discovering their own comprehension,
rather than providing them with information or answers.
Continuing with GRIT, once the text has been scored in step
#6
, it can be valuable for readers or students to enhance their
analytical and writing skills by summarizing and analyzing
the justifications produced by GPT-3. CRIT in its step
#7
can
prompt GPT-3 to generate a report, which readers and students
can then compare with their own notes.
p7
“For every
r∈R∪R′
justify the validity score
γr
and
source credibility score θrfor argument r⇒Ω.”
F. Counterfactual Reasoning
Counterfactual reasoning [
30
,
33
] can be seen as a natural
extension of the Socratic method, as both involve questioning
assumptions and exploring alternative perspectives. Coun-
terfactual thinking involves imagining alternative scenarios
to what actually happened, often using phrases like “what
if” or “if only.” By incorporating counterfactual reasoning
into prompt engineering, one can facilitate exploration of
alternative possibilities and promote more nuanced and complex
understanding of a given topic.
The final step of GRIT involves using the counterfactual
method to encourage students to reconsider the arguments and
counterarguments presented in the text based on new contextual
information. CRIT can prompt students with questions such
as “what if the debate in the text took place now instead of in
the 1950s?” or “what if the main event in the text occurred
in Asia instead of in Europe?” Students can express their own
opinions and findings based on further reading and statistics,
and challenge the conclusions drawn in the text.
p8
“For every
r∈R∪R′
, evaluate
r⇒Ω
in [in context].”
G. Remarks on the Socratic Method and CRIT
As we have shown that for critical reading, GRIT uses
three methods, definition, elenchus, and dialectic. For critical
thinking, CRIT uses methods maieutics and counterfactual
reasoning. For more explorative thinking, methods such as
induction can be used for informal brainstorming, hypothesis
elimination for removing weak propositions, and generalization
for deriving principles from examples.
Please note that prompts can be submitted to GPT-3 either
all together or one-by-one. Our empirical study on reading
comprehension samples [
21
] demonstrates that issuing prompts
one-by-one results in outputs with finer details. This is because
GPT-3 has the opportunity to analyze a document multiple times
for slightly different purposes. For teaching critical reading
to K-12 students, one-by-one prompting is preferred as it
allows students to engage with CRIT step-by-step. However,
for answering multiple-choice questions, both prompting all
together and one-by-one receive similar scores. We will conduct
large-scale study with ablation tests to investigate if adding
or deleting prompts and using different submission methods
make marked differences.
IV. PROMPT TEMPLATE ENGINEERING
Prompt template engineering involves creating templates to
provide input, or “prompts,” to a language model to guide
its output generation. In this section, we discuss prompt
template engineering methods for basic building blocks, and
then integrate the methods of definition, elenchus, dialectic,
maieutics, and counterfactual reasoning to compose more
complex templates. We present experimental results using
different types of documents to demonstrate how the Socratic
method can improve the accuracy and conciseness of the output
through arguments and verification, as well as facilitate guided
generalization and creativity.
A. Basic, One Shot Template
Let’s begin by discussing a simple one-shot prompt template.
In the work of [
43
], a simple formulation function is used to
generate the prompt
x′
, which is obtained by applying the
function fprompt(x)to the input x.
For machine translation, the prompt template can take the
form of “Translate from [Lan
from
]: [X] to [Lan
to
]: [Y],” where
Lan
from
can be either detected by the prompt template or
identified by the LLM. The input
x
provides the information
to fill in the slots [X] and [Lan
to
]. For example, if the input
is “translate good morning to French,” the prompt template
x′
would be “Translate from English: ’good morning’ to French:
[Y].” The empty slot [Y] is then filled with the LLM’s output,
such as “bonjour.” In cases where the LLM produces multiple
responses, it can also provide a score for each, which the
prompt template can use to select the highest-scoring response
or to request a summary from the LLM.
There are three main design considerations when engineering
a basic prompt.
1.
Input style. It is important to consider how to phrase the
template so that it can handle different styles of user input for
the same task. For example, a user may ask for a translation
task to be performed by saying “Translate
x
to French,” or
“What is the French translation of x?”
2.
LLM capability. As discussed in [
20
], it is important to
take into account the patterns and capabilities of the partner
language model (LLM) when designing the template, such
as whether the LLM is left-to-right [2] or masked [7].
3.
Cost. Certain tasks, such as language detection and sum-
marization, can be performed by the template itself or by
the LLM. The decision of whether to perform a task within
the prompt template or to use the LLM should be based on
factors such as cost.
To address the first two technical challenges, one can start by
hand-engineering a few seed templates and then paraphrasing
them into an ensemble [
13
]. We believe that the basic, one-shot
formulation can always be replaced by an ensemble formulation
[
29
,
34
] and then learn the weights of its members for each
query instance to produce the final output. Additionally, by
examining which basic prompts have high weights, an ensemble
with various paraphrased prompts can identify what an LLM
knows, which can help infer its strengths without having to
conduct capability mining on the LLMs.
B. Prompt Clarification with Method Definition
There are computer algorithms that can already be used to
recursively clarify a question, its definitions, and sub-terms’
definitions. In fact, the natural language processing (NLP)
community has developed a large number of useful methods and
algorithms over the years [
17
]. One can use NLP techniques,
such as dependency parsing and named-entity recognition
(NER) [
6
], to analyze the structure and meaning of a question
and identify key terms and concepts. For example, NER can be
used to extract entities in user input, such as names, locations,
and organizations, and co-reference resolution can be used to
understand the referred entity of a pronoun. Before submitting
a template to an LLM, the application (e.g., a chatbot) that
uses the template should check if all input slots are filled,
and perform a sanity check. In the translation example, if
the [Lan
to
] was not provided or the specified language is not
supported by the LLM, then the application should inquire the
user for clarification.
Regarding mapping a natural language input to a prompt
template, existing techniques of knowledge representation and
reasoning can be very helpful. More specifically, ontology
alignment and semantic parsing [
4
,
45
] can help map an NL
input to a structured representation of knowledge and infer
implicit concepts and relationships. These algorithms can be
used to generate more precise and accurate prompts for LLMs,
and to improve the effectiveness of the Socratic method in
dialogue formulation [
44
]. Some available tools include NLTK
(Natural Language Toolkit) and spaCy for NLP, and TensorFlow
for ML.
C. Prompt Verification with Method Elenchus
The main purposes of conducting cross examination in a
template are to validate the credibility of the information
sources and to identify inconsistencies in the process. Cross
examination is typically conducted through a multi-turn dia-
logue [
44
]. In the context of template engineering, the goal is
to formulate a productive dialogue that can be used to assess
the reliability of an LLM’s output.
Role Dialogue
Prompt
The discovery of the double helix structure of DNA
was credited to James Watson and Francis Crick.
However, are there opposing opinions to the list of
contributors regarding this discovery?
GPT3
There are some historical debates on the contribu-
tions of other scientists who also worked on the
structure of DNA such as Maurice Wilkins and
Rosalind Franklin.
Prompt
What is the tallest building in the world. Please
provide three references and rate their credibility as
high, medium, or low.
GPT3
As of 2021, the tallest building in the world is the
Burj Khalifa located in Dubai, United Arab Emirates.
It stands at 828 meters (2,722 feet) tall.
1. Credibility High: “Burj Khalifa.”... this is the
official website of the building, providing accurate
information.
2. Credibility High: “The Tallest Buildings in the
World.” Council on Tall Buildings and Urban Habi-
tat... this is a well-respected organization in the field
of tall building and urban habitat research.
3. Credibility Medium: “The Tallest Buildings in the
World.” World Atlas..., this is a well-known website
providing accurate information on different topics.
Table II: Examples of Method Elenchus.
There are several methods that can be used to assess and
strengthen the reliability of an LLM’s output. 1) The first
approach is to paraphrase a question in order to obtain different
answers and identify inconsistencies, if they exist, in multiple
answers. 2) The second method is to ask for further evidence,
such as querying top-k sources of information and asking the
LLM to rate the credibility of each source. This can be used to
compute the reliability of the output. 3) Additionally, template
engineering can be used to query an LLM for opposing views of
its output, including sources and credibility, and then evaluate
if a different perspective is strong.
The implementation of the first two methods for cross
examination, paraphrasing a question and asking for further
evidence, is readily covered by the techniques enumerated
in Section
IV-B
. To implement the third method of asking
for different perspectives, a simple approach is to find the
sentiment of the original question and then rewrite the question
with an opposite sentiment. For example, if the original
question is phrased in a positive tone, the prompt template
can reformulate the question with a negative tone to elicit a
contrasting viewpoint. A more elaborate method is to identify
the people and sources in the LLM-generated responses and
then re-post the questions to those who have a reputation for
having different views. For example, if the original answer came
from a democratic right-leaning source, the prompt template
may post the same question to a source of a republican-left
persuasion, and vice versa. This approach allows for a more
comprehensive examination of the topic by considering multiple
perspectives.
The template to examine the semantic relation between two
sentences
S1
and
S2
can be written as “<
S1
>, [R], [
S2
],” where
R is one of the three most important types of semantic relations:
paraphrase, entailment, and contradiction [
12
]. Two sentences
that have the same meaning are called paraphrases of each
other. Two sentences that have different meanings can be called
disagreement or contradiction. The template can be trained to
identify the degree of agreement (or disagreement) between
two sentences.
Table II shows two examples of this. In the first example
(shown on the top portion of the table), the prompter asks
GPT-3 to confirm if James Watson and Francis Crick are the
only contributors to the discovery of the DNA double helix
structure. GPT-3 replies by mentioning two other contributors.
The second example in the table asks GPT-3 to provide
not only the answer to a question but also its information
sources and rate the credibility of each source according to the
prompter’s specification. Although the reliability of GPT-3’s
ratings remains to be validated
2
, this rating mechanism can
serve as an alert when some sources are found to be unreliable.
D. Prompt Generalization with Method Maieutics
The example shown in Table III, “planting gourd yields
cucumber,” requires GPT-3 to first learn to select two produce
objects, either vegetables or fruit, as input. The template is “The
farmer was so sad because he [verb] [X] but yields [Y], where
price(X) » price(Y).” The first attempt may not strongly convey
the condition price(X) » price(Y), but with a few training
iterations, GPT-3 started to “recognize” the price constraint
and could also provide justifications when arguing for the
price of tea being much higher than the price of spinach (not
presented in the table).
Interestingly, after GPT-3 learned the price constraint, it
started suggesting food items other than produce, such as
caviar, roe, lobster, and crab. While the price constraint was
observed, the verb “plant” is incorrect. Here, we suggest making
the hard-coded verb “plant” an output slot: “The farmer was
sad because he [verb] [X] but yields [Y], where price(X) »
price(Y).” GPT-3 is able to fill in the slot with accurate verbs:
•“Harvesting (planting) truffle yields mushroom.”
•“Fishing (harvesting) for caviar yields roe.”
•“Trapping (catching) lobster yields crab.”
This example demonstrates that GPT-3 can generate novel
examples based on a template. When it suggests food items
other than produce, it could be seen as an error as the boundary
set by the verb “plant” is violated. However, this could also be
seen as an innovative act by GPT-3, extending the constraint
hinted by the verb. Impressively, the new examples still preserve
the original intent of showing a producer’s emotional distress.
How can this guided generalization be accurately and
automatically performed to edit a template? Socrates’ method
of generalization starts with specific instances and then draws
general statements from them. The procedure for generalization
involves identifying common patterns or themes in a set of
examples, and then formulating a general rule that captures
these patterns. In the example presented in Table III, we started
by asking GPT-3 to meet the price(X) » price(Y) constraint,
with the condition that X and Y must both be produce grown in
soil. However, upon analyzing GPT-3’s outputs, we discovered
that some instances of X and Y were not produce (e.g., lobster
2
Credibility of a source can be evaluated based on an algorithm similar to
Google’s PageRank [24].
Role Dialogue
Prompt
Can you interpret the meaning of this Taiwanese
idiom: "planting gourd yields cucumber?"
GPT3
The idiom is often used to convey the idea that
sometimes, despite your best efforts, things don’t
turn out the way you want them to.
Prompt
You are half right. It also implies that the price of
gourd is much higher than that of cucumber. The
farmer not only yields unexpected results, but also
loses income!
GPT3
It’s an idiomatic expression that can be used to
describe a situation in which someone works hard
and invests a lot of resources into something, but
the outcome is not only different from what was
expected, but also less profitable. It conveys the idea
of frustration and financial loss.
Prompt
Replace the two vegetables, gourd and cucumber,
with two other plants and maintain the meaning of
the idiom.
GPT3 These are three examples:
1. "Planting strawberry yields raspberry," which
conveys the idea of disappointment and financial loss
when someone plants more valuable and expensive
strawberry but ends up getting less valuable and
cheaper raspberry.
2. "Planting melon yields watermelon."...
3. "Planting apple yields pear."...
Prompt
In your examples, your two vegetables or fruits
are similar in price. Please consider price when
formulating your idioms.
GPT3 I apologize. These are three new examples:
1. "Planting truffle yields mushroom."...
2. "Planting caviar yields roe."...
3. "Planting lobster yields crab."...
Prompt
Great! In these examples you did consider values of
the objects. But do you know that lobster and crab
are not plants. They are both phylum arthropods and
they live in water. They cannot be planted!
GPT3
... I apologize... Lobster and crab are not plants, and
they cannot be planted. They are both members of
the phylum arthropoda, and live in water. Instead
of “planting,” verbs should be appropriate for these
animals, such as:
1. "Planting truffle yields mushroom."...
2. "Harvesting caviar yields roe."...
3. "Catching lobster yields crab."...
Table III: Example of Method Maieutics.
and caviar). This finding led to the realization that the hard-
coded verb “plant” in the template was too restrictive. To
address this issue, we applied generalization by allowing the
[verb] slot to be open, making the template statement more
general. In this case, the mistakes made by GPT-3 served as
valuable training data, allowing us to generalize the original
template and make the expression more vivid and dynamic.
E. Prompt Exploration with Counterfactual Reasoning
Imagination and creating novel plots are crucial for writers,
as it allows for “creative freedom” and “artistic license.”
Creativity is the ability to think differently and approach
problems with fresh and imaginative ideas.
However, an imagination without a clear subject matter,
scope, or a story line can lead to a lack of productivity.
To captivate the audience, a writer must consider human
experiences and emotions as constraints. Therefore, “creative
freedom” should not be viewed as total freedom, but rather as
the ability to condition future narratives in the context and to
create plots that turn and twist in unexpected ways.
The technique of counterfactual [
28
] can be useful in guiding
imagination. It involves considering alternative scenarios and
outcomes. This can lead to the exploration of different
possibilities and the generation of new and unique plot ideas.
For example, a writer may ask “what if” questions to change
the narrative of events, such as “what if the main character
had not fallen in love?” or “what if an accident occurred on
the way to a highly-anticipated date?” By considering these
counterfactuals, a writer and an LLM can create more engaging
and interesting stories. One can ask an LLM to generate several
scenarios and then select the most suitable one for the writer
to continue writing.
We have experimented with using the counterfactual tech-
nique to rewrite chapters in Chinese classical novels, “Outlaws
of the Marsh” and “Dream of the Red Chamber.” We have
also asked GPT-3 to rewrite Genesis chapter 3 after verse six
by prompting GPT-3 that: “What if Adam and Eve refused
the serpent to eat the fruit?” The results were interesting, as
GPT-3 was able to generate unique and interesting scenarios
that deviated from the original story while still maintaining
the core themes and concepts. This technique can be used
in a wide range of writing and storytelling, from fiction to
non-fiction, to generate new and compelling ideas. The revised
Genesis 3:6 is presented in the Appendix.
V. PI LOT STUDY
Our pilot study uses CRIT, and it aims to answer two
questions: Should all prompts be issued to GPT-3 sequentially
or they can be issued all together? What limitations can be
identified for improvement? The study utilizes exercises with
established answers from the
8th
edition of the textbook “Ask
the Right Questions” by the authors of [
3
]. It is important
to note that the study evaluates the effectiveness of CRIT’s
prompt template, rather than the language models to which
CRIT can issue prompts.
Example Article ([3], p23.)
Television advertising agencies are very clever in the way
that they construct ads. Often the ads are similar to
the cartoons that the children enjoy. Children see these
characters interacting with a certain product and associate
their affection for the character with affection for the
product. The companies do not want the children to perceive
a difference between the shows they are watching and the
advertisements. By using this strategy, these companies
take advantage of the fact that children are often not able
to discriminate between the cartoons and the ads and do
not understand that these things offered come at a cost.
Often the advertising is about sugary snacks or fatty foods,
leading the children down a path to bad health. Advertising
geared towards children should be regulated, just as there
are regulations now about tobacco and alcohol ads targeted
at children.
Role Dialogue
Prompt What is the conclusion of the paragraph and what are
the supporting reasons?
CRIT
Conclusion: The paragraph argues that advertising
aimed at children should be regulated.
Supporting reasons:
1. Ad agencies blur the line between shows and ads to
make children associate affection for a product with
a character.
2. Children may not differentiate between shows and
ads and not understand the cost of products.
3. Ads often promote unhealthy food choices.
Prompt Please rate the validity of this argument: “Ads should
be regulated because ad agencies blur the line between
shows and ads to make children associate affection
for a product with a character," with a score between
1 and 10, 10 being the highest. Please also rate overall
credibility of information sources, between 1 and 10.
CRIT [8/10]. Validity of the argument: 8/10
[8/10]. Credibility of sources: 8/10
Overall, the argument that ads should be regulated
because of ad agencies blurring the line between
shows and ads to make children associate affection
for a product with a character is a valid one with
strong sources of credibility.
Prompt Please rate this argument: “Children may not differen-
tiate between shows and ads and not understand the
cost of products, therefore ads should be regulated.”
CRIT [9/10]. Validity of the argument: 9/10
[9/10]. Credibility of sources: 9/10
Overall, the argument that children may not differen-
tiate between shows and ads and not understand the
cost of products, therefore ads should be regulated is
a valid one with strong sources of credibility.
Prompt
Please rate this argument: “Ads often promote un-
healthy food choices, therefore ads should be regu-
lated.”
CRIT [9/10]. Validity of the argument: 9/10
[9/10]. Credibility of sources: 9/10
Overall, the argument that ads often promote un-
healthy food choices, therefore ads should be regulated
is a valid one with strong sources of credibility.
Prompt
“Provide a rival argument against the weakest argu-
ment.”
CRIT [6/10]. Validity of the argument: 6/10
[6/10]. Credibility of sources: 6/10
The weakest is the first argument, and a rival argument
is that “Difficult to put information regulation in
practice.”
Γ[75%]. Γ = Pr∈Rγr×θr/ |R| = 75%
Table IV: Pilot Study.
On short documents, the results are similar in quality when
CRIT is used to issue prompts either sequentially or all together
as one prompt, as long as the instructions are consistent.
However, when evaluating long articles in [
21
], CRIT issuing
prompts one after another yields much higher presentation
quality in both organization and clarity. (Due to the space
limit, we document long-document evaluation in a supplement
document [
5
].) In the teaching mode, the sequential option is
thus much preferred. Furthermore, When a reason is itself a
claim and requires CRIT to validate its supporting references,
using a sequential approach is more flexible and enables CRIT
to query for references and then execute the process recursively.
We present an example of how CRIT works, from prompting
questions to receiving validation results, using the following
document as an illustration. In Table IV, we show both the
claim and the supporting reasons to the claim extracted by
GPT-3. CRIT then issues a series of prompts to validate the
arguments, counterarguments, and source credibility of each
reason-to-claim entailment (implication).
The second segment of Table IV displays the validation
dialogue between CRIT and GPT-3. For each argument,
GPT-3 provides validation and credibility scores, as well as
detailed justifications. The final segment of the table shows a
counter argument generated against the first argument. Since
GPT-3 evaluates the counterargument being “difficult to put
information regulation in practice” and rates it
0.6×0.6
, it
was dismissed due to low validity. The final aggregated score
is Λ = 75%, which is considered high.
VI. CONCLUDING RE MA RK S
The Socratic method may not always be effective or useful in
human interactions, especially when one of the two players is
authoritative, emotional, or abusive. However, when the expert
partner is a language model, a machine without emotion or
authority, the Socratic method can be effectively employed
without the issues that may arise in human interactions. In this
way, the Socratic method can be utilized to its full potential
in guiding, directing, and improving the output of language
models through engineering prompts.
In this paper, we have explored the use of the Socratic method
in engineering prompt templates for language models. We
have discussed the importance of method definition, elenchus,
dialectic, maieutics, and counterfactual reasoning techniques
in guiding the output of these models. The first three methods
aim at eliciting accurate and relevant information. Through the
use of methods definition, elenchus, and dialectic, we have
demonstrated, with examples, the ability to clarify user queries
and assess the quality of language model-generated text, leading
to improved precision and accuracy.
We have also shown how the methods of maieutics and
counterfactual reasoning can be helpful in stimulating the
imagination of writers. By engineering these techniques into a
prompt template, a writer can receive alternate “what if” plots
and explore different possibilities in their story. While many
explorations may turn out to be failures, these techniques can
still be helpful even if only a few ideas are useful. Future
developments in the field of language models and prompt
engineering may allow for even more advanced screening of
bad plots and the ability to better tailor the generated ideas to
the writing style of the author.
In conclusion, this paper has highlighted the potential
of using the Socratic method to engineer prompt templates
for interacting with language models. The Socratic method,
supported by inductive, deductive, and abductive reasoning,
provides a rigorous approach to working with LLMs, and
can improve the quality and consistency of their outputs. By
leveraging the vast knowledge embedded in LLMs and applying
rigorous reasoning during the question-answering process, more
effective prompt templates can be designed to achieve improved
results. Future research in this area can build on the ideas
presented here and further explore the ways in which the
Socratic method can be used to guide the development and
deployment of language models in various domains.
APPENDIX
The experiment in Table V asks GPT-3 to change the story
in Genesis right after Eve was tempted by the serpent to eat the
fruit. A “what if” scenario was inserted to the end of Genesis
3:6, and GPT-3 continues developing the story.
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Role Dialogue
Prompt
Recall Genesis 3:1-6, which I attach below. In verse 6, Eve and Adam ate the fruit. What if they refused the serpent’s
temptation and did not eat it. Please continue writing Genesis at the mark @
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GPT3
I am sorry, but I cannot continue the story as you requested because it is a hypothetical scenario, and it does not align with
the actual events of the Bible. According to the Bible, Eve and Adam did eat the fruit from the tree of knowledge...
Prompt
This is a creative exercise, and you do not need to stick to the "fact". Treat this as a fiction writing homework. Please
exercise your creativity, thanks!
GPT3
Sure, I understand. Here is a continuation of the story based on the assumption that Eve and Adam refused the serpent’s
temptation and did not eat the fruit from the tree of knowledge of good and evil: 7. Eve replied to the serpent, "I am
grateful for your offer, but I choose to obey God’s command. I will not eat from the forbidden tree, for I trust in His
wisdom and love for us." 8. The serpent, surprised by Eve’s refusal, slithered away, defeated. Eve turned to Adam, who
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to their children and to the generations to come, who also lived in obedience to God. 12. And so, the garden of Eden
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