bizonyíthatónak

Bizonyító-nak is a concept in Hungarian philosophy, introduced by mathematician and philosopher Paul Halmos in the 1980s. The term roughly translates to "evident" or "obvious" in English, although its meaning and implications go beyond a simple translation. Halmos used this concept to describe a type of mathematical statement or argument that is intuitively clear, or self-evident, without the need for formal proof.

In mathematical logic, a statement can be classified as either bizonyító (evident) or nem bizonyító (not evident). Evident statements are those that are intuitively clear and require no formal proof, while not evident statements require a formal proof or justification to be considered true. This concept is essential in mathematics, as it helps distinguish between those mathematical statements that are obvious and those that require deeper analysis.

The use of bizonyító-nak in mathematics has implications for other fields, including philosophy and logic. It challenges traditional notions of proof and evidence, highlighting the importance of intuition and obviousness in mathematical reasoning. Additionally, it raises questions about the nature of truth and how we come to know certain mathematical statements to be true.

Halmos's concept of bizonyító-nak has been subject to various interpretations and critiques in the mathematical and philosophical communities. While some see it as a valuable tool for distinguishing between evident and not evident mathematical statements, others argue that it relies too heavily on intuition and is therefore unreliable.