Definitions for logicism
logi·cism

Princeton's WordNetRate this definition:0.0 / 0 votes

1. logicismnoun

   (philosophy) the philosophical theory that all of mathematics can be derived from formal logic

WiktionaryRate this definition:0.0 / 0 votes

1. logicismnoun

   The doctrine that mathematics is a branch of logic in that some or all mathematics is reducible to logic.

WikipediaRate this definition:0.0 / 0 votes

1. Logicism

   In the philosophy of mathematics, logicism is a programme comprising one or more of the theses that — for some coherent meaning of 'logic' — mathematics is an extension of logic, some or all of mathematics is reducible to logic, or some or all of mathematics may be modelled in logic. Bertrand Russell and Alfred North Whitehead championed this programme, initiated by Gottlob Frege and subsequently developed by Richard Dedekind and Giuseppe Peano.

ChatGPTRate this definition:0.0 / 0 votes

1. logicism

   Logicism is a philosophical approach or theory in mathematics wherein all mathematical concepts, statements, and principles are considered as reducible to or derivable from formal logic. This implies that all mathematical truths can be proven solely on the basis of logical axioms and definitions. Notable proponents include philosophers and mathematicians such as Bertrand Russell and Gottlob Frege.

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1. Logicism

   Logicism is one of the schools of thought in the philosophy of mathematics, putting forth the theory that mathematics is an extension of logic and therefore some or all mathematics is reducible to logic. Bertrand Russell and Alfred North Whitehead championed this theory, created by mathematicians Richard Dedekind and Gottlob Frege. Dedekind's path to logicism had a turning point when he was able to reduce the theory of real numbers to the rational number system by means of set theory. This and related ideas convinced him that arithmetic, algebra and analysis were reducible to the natural numbers plus a "logic" of sets; furthermore by 1872 he had concluded that the naturals themselves were reducible to sets and mappings. It is likely that other logicists, most importantly Frege, were also guided by the new theories of the real numbers published in the year 1872. This started a period of expansion of logicism, with Dedekind and Frege as its main exponents, which however was brought to a deep crisis with the discovery of the classical paradoxes of set theory. Frege gave up on the project after Russell recognized and communicated his paradox exposing an inconsistency in naive set theory. On the other hand, Russell wrote The Principles of Mathematics in 1903 using the paradox and developments of Giuseppe Peano's school of geometry. Since he treated the subject of primitive notions in geometry and set theory, this text is a watershed in the development of logicism. Evidence of the assertion of logicism was collected by Russell and Whitehead in their Principia Mathematica.

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1. • Philosophical Doctrine
   • Philosophy

How to pronounce logicism?

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How to say logicism in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of logicism in Chaldean Numerology is: 7

2. Pythagorean Numerology

   The numerical value of logicism in Pythagorean Numerology is: 6

References

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