Definitions for mathematical proof
math·e·mat·i·cal proof

Princeton's WordNetRate this definition:0.0 / 0 votes

1. mathematical proofnoun

   proof of a mathematical theorem

WikipediaRate this definition:0.0 / 0 votes

1. Mathematical proof

   A mathematical proof is an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference. Proofs are examples of exhaustive deductive reasoning or exhaustive inductive reasoning which establish logical certainty, and to be distinguished from empirical arguments or non-exhaustive inductive reasoning which establish "reasonable expectation". Enumerating many confirmatory cases is not enough for a proof, which must demonstrate that the statement is always true (occasionally by listing all possible cases and showing that it holds in each). An unproven proposition that is believed to be true is known as a conjecture, or a hypothesis if the proposition is frequently used as an assumption to build upon similar mathematical work.Proofs employ logic expressed in mathematical symbols, along with some amount of natural language which usually admits some ambiguity. The vast majority of proofs in written mathematics can be considered as applications of rigorous informal logic. Purely formal proofs, written fully in symbolic language without the involvement of natural language, are considered in proof theory. The distinction between formal and informal proofs has led to much examination of current and historical mathematical practice, quasi-empiricism in mathematics, and so-called folk mathematics (in both senses of that term). The philosophy of mathematics is concerned with the role of language and logic in proofs, and mathematics as a language.

ChatGPTRate this definition:0.0 / 0 votes

1. mathematical proof

   A mathematical proof is a logical demonstration that asserts the truth of a mathematical statement or theorem. It is a deductive argument that starts with established facts or initial assumptions (axioms), uses valid rules of inference, and leads to a conclusion, confirming the truth of the statement. The proof must demonstrate that the statement is true in all possible cases without any exceptions or inconsistencies.

WikidataRate this definition:0.0 / 0 votes

1. Mathematical proof

   In mathematics, a proof is a deductive argument for a mathematical statement. In the argument, other previously established statements, such as theorems, can be used. In principle, a proof can be traced back to generally accepted statements, known as axioms. Proofs are examples of deductive reasoning and are distinguished from inductive or empirical arguments; a proof must demonstrate that a statement is always true, rather than enumerate many confirmatory cases. An unproven statement that is believed true is known as a conjecture. Proofs employ logic but usually include some amount of natural language which usually admits some ambiguity. In fact, the vast majority of proofs in written mathematics can be considered as applications of rigorous informal logic. Purely formal proofs, written in symbolic language instead of natural language, are considered in proof theory. The distinction between formal and informal proofs has led to much examination of current and historical mathematical practice, quasi-empiricism in mathematics, and so-called folk mathematics. The philosophy of mathematics is concerned with the role of language and logic in proofs, and mathematics as a language.

Matched Categories

1. • Proof

How to pronounce mathematical proof?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say mathematical proof in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of mathematical proof in Chaldean Numerology is: 5

2. Pythagorean Numerology

   The numerical value of mathematical proof in Pythagorean Numerology is: 5

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=mathematical proof
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Mathematical_Proof
3. ^ ChatGPT
   https://chat.openai.com
4. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=mathematical proof