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Concerning the Ultimate Foundation of the Distinction of the Directions in Space

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... Here it is important to note the difference between the mirror image as an image (reflection) of an object, in which case it is identical with an object as any image, is a part of an object and mirror image as a different object in which case they are not identical. Chirality as an argument was one of the major points raised by Imanuel Kant (Kant 1999) in disagreement with Leibniz's relationism of space and time. In regard to chirality we can see an interesting thing -it disappears when changing in dimensionality of space. ...
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While we often talk about different types of identity, logical, ontological, or Leibniz’s Identity of Indiscernibles, we often tend to overlook that any question regarding “What is identical?” or “How is it identical?” depends upon “When is it identical?” or “Where is it identical?” Therefore, identity cannot be understood without spacio-temporal reference. Also, as any object can be described as an event or to make it stricter - any object is an event, thus anything considered to be simultaneous also must be considered as identical in time. However, while simultaneous objects (events) are considered to be identical in time, not all identical objects (events) are considered to be simultaneous. Following this consideration, four possible types of spacio-temporal identity are analysed. Any object (event) can be identical: A) In Time and Space; B) In Time but not in Space; Γ) In Space but not in Time; Δ) Neither in Space nor in Time. Therefore, all objects (events) that are considered as being identical fall into one of these four spatio-temporal types. This is true whether we have properties, features, qualities or any other factors which let us consider objects (events) as identical. As we can see, only cases A and B apply to the notion of simultaneity, where objects (events) are considered to be identical in time. We also know that simultaneity is relative and depends upon a system of reference. Therefore, we may expect that the same applies to identity thus forming an idea of relativity of identity in those types that depend on time.
... Vis dėlto, nors ir plačiai žinoma bei dažnai klaidingai interpretuojama, tai nėra vienintelė Kanto erdvės ir laiko koncepcija. Svarbus antireliacionistinis argumentas pateikiamas ir ankstesniame 1768 metų Kanto darbe "Apie esminius erdvės regionų skirtumo pagrindus" (Kant 1999). Jame teigiama, kad, pripažinus reliacionistinę teoriją, nebūtų jokio skirtumo tarp kairės ir dešinės, priekio ir nugaros, viršaus ir apačios. ...
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Straipsnyje nagrinėjama absoliutistinės ir reliacionistinės erdvės ir laiko koncepcijų kontroversija. Lyginamos Newtono ir Leibnizo teorijos, pateikiami kitų diskusijoje dalyvavusių filosofų požiūriai. Atskleidžiami abiejų teorijų argumentacijų trūkumai ir privalumai. Straipsniu nesiekiama atstovauti kuriai nors pozicijai, lyginamoji abiejų požiūrių analizė leidžia skaitytojui susidaryti nešališką vertinimą. Teigiama, kad abiejų erdvės ir laiko sampratų prielaidos yra greičiau metafizinės nei fizikinės. Nurodoma, kad klasikinė diskusija yra vis dar aktuali šiuolaikiniame moksliniame kontekste.
... But the freedom of movement must already presuppose a basic orientation in space. This is a particular capability which is manifested as the ability to generate direction, which, as Kant noted, is egocentric by necessity:Since we know nothing external to us through the senses, except in so far as it stands in relation to ourselves, it is no wonder that we derive from the relation of these intersecting surfaces to our body the ultimate foundation of generating the concept of regions in space(Kant [1968], p. 38). ...
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Kant's argument from incongruent counterparts for substantival space is examined; it is concluded that the argument has no force against a relationist. The argument does suggest that a relationist cannot give an account of enantiomorphism, incongruent counterparts and orientability. The prospects for a relationist account of these notions are assessed, and it is found that they are good provided the relationist is some kind of modal relationist. An illustration and interpretation of these modal commitments is given.
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