34 ideas
14027 | If we are to use words in enquiry, we need their main, unambiguous and uncontested meanings [Epicurus] |
14040 | Observation and applied thought are always true [Epicurus] |
6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
8720 | A logic is 'relevant' if premise and conclusion are connected, and 'paraconsistent' allows contradictions [Priest,G, by Friend] |
6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
6303 | Sets are positions in patterns [Resnik] |
6295 | There are too many mathematical objects for them all to be mental or physical [Resnik] |
6296 | Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik] |
6301 | Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik] |
6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
14028 | Nothing comes to be from what doesn't exist [Epicurus] |
14029 | If disappearing things went to nothingness, nothing could return, and it would all be gone by now [Epicurus] |
14030 | The totality is complete, so there is no room for it to change, and nothing extraneous to change it [Epicurus] |
14048 | Astronomical movements are blessed, but they don't need the help of the gods [Epicurus] |
14044 | The perceived accidental properties of bodies cannot be conceived of as independent natures [Epicurus] |
14045 | Accidental properties give a body its nature, but are not themselves bodies or parts of bodies [Epicurus] |
14046 | A 'body' is a conception of an aggregate, with properties defined by application conditions [Epicurus] |
14047 | Bodies have impermanent properties, and permanent ones which define its conceived nature [Epicurus] |
14039 | Above and below us will never appear to be the same, because it is inconceivable [Epicurus] |
14050 | We aim to dissolve our fears, by understanding their causes [Epicurus] |
14037 | Atoms only have shape, weight and size, and the properties which accompany shape [Epicurus] |
6010 | Illusions are not false perceptions, as we accurately perceive the pattern of atoms [Epicurus, by Modrak] |
14041 | The soul is fine parts distributed through the body, resembling hot breath [Epicurus] |
14042 | The soul cannot be incorporeal, because then it could neither act nor be acted upon [Epicurus] |
14032 | Totality has no edge; an edge implies a contrast beyond the edge, and there can't be one [Epicurus] |
14033 | Bodies are unlimited as well as void, since the two necessarily go together [Epicurus] |
14034 | There exists an infinity of each shape of atom, but the number of shapes is beyond our knowledge [Epicurus] |
14035 | Atoms just have shape, size and weight; colour results from their arrangement [Epicurus] |
14038 | There cannot be unlimited division, because it would reduce things to non-existence [Epicurus] |
14049 | We aim to know the natures which are observed in natural phenomena [Epicurus] |
14043 | The void cannot interact, but just gives the possibility of motion [Epicurus] |
14031 | Space must exist, since movement is obvious, and there must be somewhere to move in [Epicurus] |
14036 | There are endless cosmoi, some like and some unlike this one [Epicurus] |