<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Two crucial concepts of the methodology and philosophy of mathematics are considered: proof and truth. We distinguish between informal proofs constructed by mathematicians in their research practice and formal proofs as defined in the foundations of mathematics (in metamathematics). Their role, features and interconnections are discussed. They are confronted with the concept of truth in mathematics. Relations between proofs and truth are analysed.</p></abstract>

Two crucial concepts of the methodology and philosophy of mathematics are considered: proof and truth. We distinguish between informal proofs constructed by mathematicians in their research practice and formal proofs as defined in the foundations of mathematics (in metamathematics). Their role, features and interconnections are discussed. They are confronted with the concept of truth in mathematics. Relations between proofs and truth are analysed.

Proof <italic>vs</italic> Truth in Mathematics

Studia Humana

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":{"italic":"vs","content":["Proof","Truth in Mathematics"]}}

Two crucial concepts of the methodology and philosophy of mathematics are considered: proof and truth. We distinguish between informal proofs constructed by...

Proof vs Truth in Mathematics

Pubblicato online: 11 nov 2020

Pagine: 10 - 18

DOI: https://doi.org/10.2478/sh-2020-0025

Parole chiave
formal proof, informal proof, truth, mathematics, logic, incompleteness, Jan Woleński

© 2020 Roman Murawski, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Proof vs Truth in Mathematics

Pubblicato online: 11 nov 2020

Pagine: 10 - 18

DOI: https://doi.org/10.2478/sh-2020-0025

Parole chiaveformal proof, informal proof, truth, mathematics, logic, incompleteness, Jan Woleński

© 2020 Roman Murawski, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Parole chiave
formal proof, informal proof, truth, mathematics, logic, incompleteness, Jan Woleński