9789 | You can't abstract natural properties to make Forms - objects and attributes are defined together [Aristotle] |
9070 | We learn primitives and universals by induction from perceptions [Aristotle] |
10506 | Mathematics can be abstracted from sensible matter, and from individual intelligible matter [Aquinas] |
9104 | A universal is the result of abstraction, which is only a kind of mental picturing [William of Ockham] |
19577 | Everything is a chaotic unity, then we abstract, then we reunify the world into a free alliance [Novalis] |
9145 | We form the image of a cardinal number by a double abstraction, from the elements and from their order [Cantor] |
13454 | Cantor says (vaguely) that we abstract numbers from equal sized sets [Hart,WD on Cantor] |
9976 | Frege accepts abstraction to the concept of all sets equipollent to a given one [Tait on Frege] |
9361 | We have to separate the mathematical from physical phenomena by abstraction [Lewis,CI] |
10644 | A 'felt familiarity' with universals is more primitive than abstraction [Price,HH] |
10646 | Our understanding of 'dog' or 'house' arises from a repeated experience of concomitances [Price,HH] |
9031 | The basic concepts of conceptual cognition are acquired by direct abstraction from instances [Price,HH] |
10557 | Abstract objects are captured by second-order modal logic, plus 'encoding' formulas [Zalta] |
12657 | Abstractionism claims that instances provide criteria for what is shared [Fodor] |
9149 | To obtain the number 2 by abstraction, we only want to abstract the distinctness of a pair of objects [Fine,K] |
9150 | We should define abstraction in general, with number abstraction taken as a special case [Fine,K] |
9981 | Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait] |
9982 | Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait] |
10141 | Many different kinds of mathematical objects can be regarded as forms of abstraction [Fine,K] |
10229 | Simple types can be apprehended through their tokens, via abstraction [Shapiro] |
9919 | The old debate classified representations as abstract, not entities [Burgess/Rosen] |
8917 | The Way of Abstraction used to say an abstraction is an idea that was formed by abstracting [Rosen] |