14440 | We may assume that there are infinite collections, as there is no logical reason against them [Russell] |
14447 | Infinity says 'for any inductive cardinal, there is a class having that many terms' [Russell] |
13430 | Infinity: there is an infinity of distinguishable individuals [Ramsey] |
10051 | The axiom of infinity is not a truth of logic, and its adoption is an abandonment of logicism [Kneale,W and M] |
18104 | Frege, unlike Russell, has infinite individuals because numbers are individuals [Bostock] |
13037 | Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen] |
17800 | The misnamed Axiom of Infinity says the natural numbers are finite in size [Mayberry] |
13022 | Infinite sets are essential for giving an account of the real numbers [Maddy] |
13021 | The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy] |
18191 | Axiom of Infinity: completed infinite collections can be treated mathematically [Maddy] |
10878 | Infinity: There exists a set of the empty set and the successor of each element [Clegg] |
13044 | Infinity: There is at least one limit level [Potter] |