What is Belit, What Does It Mean?July 1, 2021
A basic proposition that cannot be led to another proposition and cannot be proved, does not require such retraction and proof, is self-evident, and as such, is the basis and premise of other propositions. What kind of axiom is started, that kind of result is reached. A philosophy based on axioms collapses when the falsehood of the axioms is revealed.
1) Logic: The term axiom in logic gives the meaning of a principle used to prove something so clear that it does not require proof, and it does not require proof and cannot be demonstrated. For to demonstrate is to explain further, which cannot be explained any further. Every axiom is a principle, but not every principle is an axiom. For example, the principle “every whole is greater than its parts” is an axiom, whereas Einstein’s principle of relativity is not. All logics, which are the products of the metaphysical worldview, ascribed the principle of identity, expressed by the proposition “a thing itself is the same”. Hegel’s dialectical logic has revealed that this is not true. A thing is not even the same as itself, because it is constantly changing.
2) Mathematics: Necessary propositions expressing the proportions between quantities are defined as axioms in mathematics. For example, “quantities that are individually equal to a third quantity are equal to each other”, “if equal quantities are added to equal quantities, their sum will be equal”. The mathematical axiom is the application of the logical axiom to quantities. There is no other difference in meaning between them.
3) Cartesianism: Descartes and his followers, especially Spinoza, base their philosophy on axioms. For example, Descartes built his philosophy out of the axiom “I think, therefore I am”. In his famous Ethics, Spinoza sets out from axioms such as “what is not conceived by anything else must be conceived by itself”. However, whatever kind of axiom is started, the same kind of conclusion can be reached. Moreover, these axioms are not as strong as “the sum of its parts equals the whole”. In other words, the axioms of the Cartesians are subjective, axioms that they consider axioms. As a matter of fact, the proposition “I think of a thousand gold coins, therefore I have a thousand” has been put forward in order to refute the cogito’s centuries-old form.
An axiom is a principle that is too obvious to need to be proved to prove a fact. Cartesians and especially Spinoza applied the axiom, a term of geometry, to philosophy. For example, Descartes bases his philosophy on the following axiom: I think, therefore I am. The important thing in this regard is this: What kind of axiom starts with, that kind of conclusion is reached. A philosophy based on axioms collapses when the falsehood of the axioms is revealed. For example, when the axiom of identity where A equals A was destroyed by Hegel’s dialectic, all speculative philosophies based on this axiom collapsed. Hegel proved that A cannot be equal to A because it is changing.