1729 | We perceive number by the denial of continuity [Aristotle] |
13273 | Pluralities divide into discontinous countables; magnitudes divide into continuous things [Aristotle] |
10958 | Perhaps numbers are substances? [Aristotle] |
13152 | We can talk of 'innumerable number', about the infinite points on a line [Newton] |
16920 | Numbers are formed by addition of units in time [Kant] |
9823 | Numbers are free creations of the human mind, to understand differences [Dedekind] |
13412 | Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf] |
13413 | We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf] |
9901 | Numbers can't be sets if there is no agreement on which sets they are [Benacerraf] |
9912 | There are no such things as numbers [Benacerraf] |
12334 | There is no single unified definition of number [Badiou] |
12335 | Numbers are for measuring and for calculating (and the two must be consistent) [Badiou] |
10599 | For primes we write (x not= 1 ∧ ∀u∀v(u x v = x → (u = 1 ∨ v = 1))) [Smith,P] |
13861 | Number theory aims at the essence of natural numbers, giving their nature, and the epistemology [Wright,C] |
10027 | Mathematics is higher-order modal logic [Hodes] |
8958 | In Field's version of science, space-time points replace real numbers [Szabó on Field,H] |
8865 | If 'the number of Democrats is on the rise', does that mean that 50 million is on the rise? [Yablo] |
9923 | We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen] |
9622 | 'There are two apples' can be expressed logically, with no mention of numbers [Brown,JR] |
17453 | The meaning of a number isn't just the numerals leading up to it [Heck] |
12238 | The Aristotelian view is that numbers depend on (and are abstracted from) other things [Oderberg] |
9998 | What is the relation of number words as singular-terms, adjectives/determiners, and symbols? [Hofweber] |
10002 | '2 + 2 = 4' can be read as either singular or plural [Hofweber] |