41 ideas
| 19648 | Since Kant we think we can only access 'correlations' between thinking and being [Meillassoux] |
| 19674 | The Copernican Revolution decentres the Earth, but also decentres thinking from reality [Meillassoux] |
| 19657 | In Kant the thing-in-itself is unknowable, but for us it has become unthinkable [Meillassoux] |
| 19675 | Since Kant, philosophers have claimed to understand science better than scientists do [Meillassoux] |
| 19649 | Since Kant, objectivity is defined not by the object, but by the statement's potential universality [Meillassoux] |
| 19666 | If we insist on Sufficient Reason the world will always be a mystery to us [Meillassoux] |
| 19656 | Non-contradiction is unjustified, so it only reveals a fact about thinking, not about reality? [Meillassoux] |
| 19663 | We can allow contradictions in thought, but not inconsistency [Meillassoux] |
| 19664 | Paraconsistent logics are to prevent computers crashing when data conflicts [Meillassoux] |
| 19665 | Paraconsistent logic is about statements, not about contradictions in reality [Meillassoux] |
| 8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
| 8763 | The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro] |
| 18249 | Cauchy gave a formal definition of a converging sequence. [Shapiro] |
| 19677 | What is mathematically conceivable is absolutely possible [Meillassoux] |
| 8764 | Categories are the best foundation for mathematics [Shapiro] |
| 8762 | Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro] |
| 8760 | Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro] |
| 8761 | A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro] |
| 8744 | Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro] |
| 8749 | Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro] |
| 8750 | Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro] |
| 8752 | Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro] |
| 8753 | Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro] |
| 8731 | Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro] |
| 8730 | 'Impredicative' definitions refer to the thing being described [Shapiro] |
| 19659 | The absolute is the impossibility of there being a necessary existent [Meillassoux] |
| 19662 | It is necessarily contingent that there is one thing rather than another - so something must exist [Meillassoux] |
| 19654 | We must give up the modern criterion of existence, which is a correlation between thought and being [Meillassoux] |
| 19660 | Possible non-being which must be realised is 'precariousness'; absolute contingency might never not-be [Meillassoux] |
| 19671 | The idea of chance relies on unalterable physical laws [Meillassoux] |
| 19651 | Unlike speculative idealism, transcendental idealism assumes the mind is embodied [Meillassoux] |
| 19647 | The aspects of objects that can be mathematical allow it to have objective properties [Meillassoux] |
| 8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
| 19652 | How can we mathematically describe a world that lacks humans? [Meillassoux] |
| 19668 | Hume's question is whether experimental science will still be valid tomorrow [Meillassoux] |
| 5880 | Xenocrates held that the soul had no form or substance, but was number [Xenocrates, by Cicero] |
| 19650 | The transcendental subject is not an entity, but a set of conditions making science possible [Meillassoux] |
| 19667 | If the laws of nature are contingent, shouldn't we already have noticed it? [Meillassoux] |
| 19670 | Why are contingent laws of nature stable? [Meillassoux] |
| 19653 | The ontological proof of a necessary God ensures a reality external to the mind [Meillassoux] |
| 19658 | Now that the absolute is unthinkable, even atheism is just another religious belief (though nihilist) [Meillassoux] |