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  2. Not even wrong - Wikipedia

    en.wikipedia.org/wiki/Not_even_wrong

    Not even wrong" is a phrase used to describe pseudoscience or bad science. It describes an argument or explanation that purports to be scientific but uses faulty reasoning or speculative premises, which can be neither affirmed nor denied and thus cannot be discussed rigorously and scientifically.

  3. Mathematical sciences - Wikipedia

    en.wikipedia.org/wiki/Mathematical_sciences

    The Mathematical Sciences are a group of areas of study that includes, in addition to mathematics, those academic disciplines that are primarily mathematical in nature but may not be universally considered subfields of mathematics proper. Statistics, for example, is mathematical in its methods but grew out of bureaucratic and scientific ...

  4. Glossary of mathematical jargon - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    The same term can also be used more informally to refer to something "standard" or "classic". For example, one might say that Euclid's proof is the "canonical proof" of the infinitude of primes. There are two canonical proofs that are always used to show non-mathematicians what a mathematical proof is like:

  5. Falsifiability - Wikipedia

    en.wikipedia.org/wiki/Falsifiability

    [BA] How corroborations and falsifications can explain progress in science was a subject of disagreement between many philosophers, especially between Lakatos and Popper. [ BB ] Popper distinguished between the creative and informal process from which theories and accepted basic statements emerge and the logical and formal process where ...

  6. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    A great many professional mathematicians take no interest in a definition of mathematics, or consider it undefinable. There is not even consensus on whether mathematics is an art or a science. Some just say, "mathematics is what mathematicians do". [166] [167] A common approach is to define mathematics by its object of study. [168] [169] [170 ...

  7. Tautology (logic) - Wikipedia

    en.wikipedia.org/wiki/Tautology_(logic)

    In other words, it cannot be false. Unsatisfiable statements, both through negation and affirmation, are known formally as contradictions. A formula that is neither a tautology nor a contradiction is said to be logically contingent. Such a formula can be made either true or false based on the values assigned to its propositional variables.

  8. Gödel's incompleteness theorems - Wikipedia

    en.wikipedia.org/wiki/Gödel's_incompleteness...

    There are two distinct senses of the word "undecidable" in mathematics and computer science. The first of these is the proof-theoretic sense used in relation to Gödel's theorems, that of a statement being neither provable nor refutable in a specified deductive system.

  9. Index of branches of science - Wikipedia

    en.wikipedia.org/wiki/Index_of_branches_of_science

    Geochemistry – Science that applies chemistry to analyze geological systems – study of chemistry of the Earth's crust; Geochronology – Science of determining the age of rocks, sediments and fossils – study of measuring geological time; Geography – Study of lands and inhabitants of Earth – study of surface of the earth and its ...