neo-Pythagoreanism: A New Constructivist Philosophy

A draft introduction into modern neo-Pythagorean Constructivism/Claritism. A categorization philosophy that splits Mathematics into strict and non-strict, based on widely accepted linguistic definitions and strong logical arguments about the conformity an axiomatic framework has to the rules, principles and conditions it builds upon, whether those are defined explicitly or assumed implicitly.The core foundational rules, principles and conditions of Mathematics are originally built up from the assumption of a unit or quanta, the act of counting it to establish quantity/numbers (by enumeration or grouping) and the arithmetic/operations derived from this. This is named the Fundamental Abstraction in the philosophical framework. It precedes everything else, therefore anything not completely conforming to this or any other rules, principles and conditions built upon is not "strict" Mathematics, as per the definition of strict. Questions (and debates) much welcome: [email protected]<br>Due to the nature of this philosophy and it being generally more contested, I have published it under a pseudonym for now. Although depending on the reception and nature of discourse, I will be willing to change this,

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.29245337.v2
Primary Topic
History and Theory of Mathematics
Type
article
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article

neo-Pythagoreanism: A New Constructivist Philosophy

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History and Theory of Mathematics
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neo-Pythagoreanism: A New Constructivist Philosophy

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Abstract

A draft introduction into modern neo-Pythagorean Constructivism/Claritism. A categorization philosophy that splits Mathematics into strict and non-strict, based on widely accepted linguistic definitions and strong logical arguments about the conformity an axiomatic framework has to the rules, principles and conditions it builds upon, whether those are defined explicitly or assumed implicitly.The core foundational rules, principles and conditions of Mathematics are originally built up from the assumption of a unit or quanta, the act of counting it to establish quantity/numbers (by enumeration or grouping) and the arithmetic/operations derived from this. This is named the Fundamental Abstraction in the philosophical framework. It precedes everything else, therefore anything not completely conforming to this or any other rules, principles and conditions built upon is not "strict" Mathematics, as per the definition of strict. Questions (and debates) much welcome: [email protected]<br>Due to the nature of this philosophy and it being generally more contested, I have published it under a pseudonym for now. Although depending on the reception and nature of discourse, I will be willing to change this,

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Openalex Percentile: Top 70%
History and Theory of Mathematics
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