Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Semantics of Mathematics and Science

  1. Nov 26, 2004 #1


    User Avatar
    Staff Emeritus
    Science Advisor

    Definition -

    1. A statement conveying fundamental character.
    2. A statement, or a concise explanation, of the meaning of a word, phrase, term, object or symbol

    Proof -

    1. The evidence or argument that compels the mind to accept an assertion as true.

    2. a. The validation of a proposition by application of specified rules, as of induction or deduction, to assumptions, axioms, and sequentially derived conclusions.
    b. A statement or argument used in such a validation.

    3. a. Convincing or persuasive demonstration: was asked for proof of his identity;
    an employment history that was proof of her dependability.
    b. The state of being convinced or persuaded by consideration of evidence.

    4. Determination of the quality of something by testing; trial: put one's beliefs to the proof.

    5. Law. The result or effect of evidence; the establishment or denial of a fact by evidence.

    Convention -

    1. General agreement on or acceptance of certain meaning (see definition), practices or attitudes


    It would seem that definitions are beyond proof.

    Does the statement - Prove 1 = 1 - make sense?


    scientific method:

    The principles and empirical processes of discovery and demonstration considered characteristic of or necessary for scientific investigation, generally involving the observation of phenomena, the formulation of a hypothesis concerning the phenomena, experimentation to demonstrate the truth or falseness of the hypothesis, and a conclusion that validates or modifies the hypothesis.


    I thought this might be useful after reading some threads on proving things that are or seem to be beyond proof.
  2. jcsd
  3. Nov 28, 2004 #2

    matt grime

    User Avatar
    Science Advisor
    Homework Helper

    Even a trivial proof is still a proof (ie X implies X, where X is some axiomatic statement). (The proof here is the definition of equal)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook