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Jonathan Bartlett

Jonathan Bartlett
The Blyth Institute · Theoretical Biology

M.T.S.

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19
Publications
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27
Citations

Publications

Publications (19)
Chapter
Full-text available
At the core of engineering is human problem-solving. Creating a cognitive model of the task of problem-solving is helpful for planning and organizing engineering tasks. One possibility rarely considered in modeling cognitive processes is the use of Turing Oracles. Copeland (1998) put forth the possibility that the mind could be viewed as an oracle...
Article
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Treating differentials as independent algebraic units have a long history of use and abuse. It is generally considered problematic to treat the derivative as a fraction of differentials rather than as a holistic unit acting as a limit, though for practical reasons it is often done for the first derivative. However, using a revised notation for the...
Article
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The concept of irreducible complexity is a great intuitive concept which has historically lacked a well-defined theoretical basis. This paper will show how computational theory gives an adequate account for what irreducible complexity is, what irreducible complexity’s possible biological implications are, and how irreducible complexity can be usefu...
Article
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Many people underestimate the effect that unifying principles have on the study of biology. Unifying principles are used to provide simplifying assumptions to complex problems, which allow them to be effectively tackled by the tools at hand. However, erroneous unifying principles will generate simplifying assumptions that lead towards mischaracteri...
Preprint
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First year calculus is often taught in a way that is very burdensome to the student. Students have to memorize a diversity of processes for essentially performing the same task. However, many calculus processes can be simplified and streamlined so that fewer concepts can provide more flexibility and capability for first-year students.
Article
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Cauchy products are used to take the products of convergent series. Here, we show the limits of this approach in divergent series. Alternative approaches and formulas for divergent series are suggested, as well as their benefits and drawbacks.
Article
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In computer search optimization theory, active information is a measurement of a search algorithm's internal information as it relates to its problem space. While it has been previously applied to evolutionary search algorithms on computers, it has not been applied yet to biological systems. Active information can be very useful in di erentiating b...
Article
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Generalized Information (GI) is a measurement of the degree to which a program can be said to generalize a dataset. It is calculated by creating a program to model the data set, measuring the Active Information in the model, and subtracting out the size of the model. Active Information allows GI to be usable with both exact and inexact models.
Article
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Partial differentials are often thought of as non-algebraic units - that is, they cannot be individually manipulated, cancelled, etc. Here we show that this is an artifact of notational problems. However, the optimal notation for partial differentials is actually a deep problem. Here, two potential alternative notations are discussed.
Article
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This letter discusses the claim suggested by mathematical vlogger Numberphile as to whether the sequence 1 + 2 + 3 + ... is equal to -1/12.
Preprint
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Treating divergent series properly has been an ongoing issue in mathematics. However, many of the problems in divergent series stem from the fact that divergent series were discovered prior to having a number system which could handle them. The infinities that resulted from divergent series led to contradictions within the real number system, but t...
Chapter
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Some fields already incorporate alternatives to methodological naturalism. However, few people outside the field are familiar with these alternatives or how they are used. Sometimes these non-naturalistic methodologies are being used without the participants' cognizance that the methodology is not methodologically naturalistic. Here, we show a smat...
Chapter
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Methodological naturalism, when used to enforce an exclusive view of scientific investigation, is based on three problematic streams of philosophy: mechanical philosophy, positivistic epistemology, and divine incomprehensibility. Each of these philosophies has inherent flaws that prevent them from being usable across the entirety of causal relation...
Chapter
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Our notions of causation in science are often unintentionally constrained by the mathematics we use. Typically, scientific investigations use algebraic or calculus-based mathematics to model causes and effects. This predictive pattern is what most people use to classify events as materialistic, leaving events that are not so classified as non-mater...
Article
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This review presents an overview and critique of the epistemology put forth by Alvin Plantinga in defense of the warrant for Christian belief.
Book
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Programming from the Ground Up uses Linux assembly language to teach new programmers the most important concepts in programming. It takes you a step at a time through these concepts: * How the processor views memory * How the processor operates * How programs interact with the operating system * How computers represent data internally * How to do l...
Article
Full-text available
V(D)J (Variable, Diversity, and Joining segments) recombination allows the genome to encode millions of immunoglobulin proteins using a small number of germ-line DNA segments. Immune cells can rearrange these segments into millions of sequences, which are then used as templates for proteins. As opposed to alternative splicing, the DNA physically re...

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