49 ideas
17621 | What matters in mathematics is its objectivity, not the existence of the objects [Dummett] |
23247 | The need to act produces consciousness, and practical reason is the root of all reason [Fichte] |
23232 | Sufficient reason makes the transition from the particular to the general [Fichte] |
10537 | The ordered pairs <x,y> can be reduced to the class of sets of the form {{x},{x,y}} [Dummett] |
10542 | To associate a cardinal with each set, we need the Axiom of Choice to find a representative [Dummett] |
10554 | Intuitionists find the Incompleteness Theorem unsurprising, since proof is intuitive, not formal [Dummett] |
10552 | Intuitionism says that totality of numbers is only potential, but is still determinate [Dummett] |
10515 | Ostension is possible for concreta; abstracta can only be referred to via other objects [Dummett, by Hale] |
10544 | The concrete/abstract distinction seems crude: in which category is the Mistral? [Dummett] |
10546 | We don't need a sharp concrete/abstract distinction [Dummett] |
10540 | We can't say that light is concrete but radio waves abstract [Dummett] |
10548 | The context principle for names rules out a special philosophical sense for 'existence' [Dummett] |
10281 | The objects we recognise the world as containing depends on the structure of our language [Dummett] |
23227 | Each object has a precise number of properties, each to a precise degree [Fichte] |
23228 | The principle of activity and generation is found in a self-moving basic force [Fichte] |
10532 | We can understand universals by studying predication [Dummett] |
10534 | 'Nominalism' used to mean denial of universals, but now means denial of abstract objects [Dummett] |
10541 | Concrete objects such as sounds and smells may not be possible objects of ostension [Dummett] |
10545 | Abstract objects may not cause changes, but they can be the subject of change [Dummett] |
10555 | If we can intuitively apprehend abstract objects, this makes them observable and causally active [Dummett] |
10543 | Abstract objects must have names that fall within the range of some functional expression [Dummett] |
10320 | If a genuine singular term needs a criterion of identity, we must exclude abstract nouns [Dummett, by Hale] |
10547 | Abstract objects can never be confronted, and need verbal phrases for reference [Dummett] |
10531 | There is a modern philosophical notion of 'object', first introduced by Frege [Dummett] |
23241 | I am myself, but not the external object; so I only sense myself, and not the object [Fichte] |
21966 | Self-consciousness is the basis of knowledge, and knowing something is knowing myself [Fichte] |
21967 | There is nothing to say about anything which is outside my consciousness [Fichte] |
21969 | Awareness of reality comes from the free activity of consciousness [Fichte] |
23231 | I immediately know myself, and anything beyond that is an inference [Fichte] |
23246 | Faith is not knowledge; it is a decision of the will [Fichte] |
23245 | Knowledge can't be its own foundation; there has to be regress of higher and higher authorities [Fichte] |
23242 | Consciousness has two parts, passively receiving sensation, and actively causing productions [Fichte] |
23240 | We can't know by sight or hearing without realising that we are doing so [Fichte] |
23243 | Consciousness of external things is always accompanied by an unnoticed consciousness of self [Fichte] |
23244 | Forming purposes is absolutely free, and produces something from nothing [Fichte] |
23237 | The capacity for freedom is above the laws of nature, with its own power of purpose and will [Fichte] |
23235 | I want independent control of the fundamental cause of my decisions [Fichte] |
23230 | Nature contains a fundamental force of thought [Fichte] |
19168 | Concepts only have a 'functional character', because they map to truth values, not objects [Dummett, by Davidson] |
10549 | Since abstract objects cannot be picked out, we must rely on identity statements [Dummett] |
10516 | A realistic view of reference is possible for concrete objects, but not for abstract objects [Dummett, by Hale] |
23233 | The will is awareness of one of our inner natural forces [Fichte] |
23234 | I cannot change the nature which has been determined for me [Fichte] |
23239 | The self is, apart from outward behaviour, a drive in your nature [Fichte] |
23238 | If life lacks love it becomes destruction [Fichte] |
23236 | Freedom means making yourself become true to your essential nature [Fichte] |
23229 | Nature is wholly interconnected, and the tiniest change affects everything [Fichte] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |