Home » The Mathematical Proof: The Method and Logic by Edited by Paul F Kisak
The Mathematical Proof: The Method and Logic Edited by Paul F Kisak

The Mathematical Proof: The Method and Logic

Edited by Paul F Kisak

Published July 12th 2015
ISBN : 9781515055242
Paperback
228 pages
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 About the Book 

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 self-evident or assumed statements,MoreIn 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 self-evident or assumed 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 unproved proposition 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.