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Vor 2 Tagen · No. But that's unsurprising. In the current year, 100 years after Russell's paradox, there are still mathematicians who don't like set theories in the style of ZF as a foundation, and in philosophy people often discuss paradoxes arising from things that aren't as easily given up as an axiom about abstract sets.
Vor 2 Tagen · This edited collection casts light on central issues within contemporary philosophy of mathematics such as the realism/anti-realism dispute; the relationship between logic and metaphysics; and the question of whether mathematics is a science of objects or structures.
Vor einem Tag · Leonhard Euler ( / ˈɔɪlər / OY-lər, [b] German: [ˈleːɔnhaʁt ˈʔɔʏlɐ] ⓘ, Swiss Standard German: [ˈleːɔnhart ˈɔʏlər]; 15 April 1707 – 18 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician, and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many oth...
Vor 3 Tagen · mathematical foundations? Some mathematicians and philosophers favor a hybrid notion, with pluralism at the higher realms of set theory, but absoluteness for arithmetic. What grounds are there for these various positions? How are we to adjudicate between them? What ultimately is the purpose of a foundation of mathematics?
Vor einem Tag · v. t. e. Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." [1]
Vor 3 Tagen · Galileo (born February 15, 1564, Pisa [Italy]—died January 8, 1642, Arcetri, near Florence) was an Italian natural philosopher, astronomer, and mathematician who made fundamental contributions to the sciences of motion, astronomy, and strength of materials and to the development of the scientific method. His formulation of ...
Vor 2 Tagen · Philosophy of mathematics. Philosophy of mathematics is concerned with the philosophical foundations and implications of mathematics. [93] The central questions are whether numbers, triangles, and other mathematical entities exist independently of the human mind and what is the nature of mathematical propositions.
