164 ideas
2136 | Philosophers become as divine and orderly as possible, by studying divinity and order [Plato] |
23767 | The winds of the discussion should decide its destination [Plato] |
23682 | It would be absurd to be precise about the small things, but only vague about the big things [Plato] |
11283 | There is pure deductive reasoning, and explanatory demonstration reasoning [Aristotle, by Politis] |
1672 | Maybe everything could be demonstrated, if demonstration can be reciprocal or circular [Aristotle] |
1684 | Two falsehoods can be contrary to one another [Aristotle] |
2151 | Dialectic is the only method of inquiry which uproots the things which it takes for granted [Plato] |
2154 | The ability to take an overview is the distinguishing mark of a dialectician [Plato] |
4011 | For Plato, rationality is a vision of and love of a cosmic rational order [Plato, by Taylor,C] |
2093 | You must never go against what you actually believe [Plato] |
2130 | People often merely practice eristic instead of dialectic, because they don't analyse the subject-matter [Plato] |
12145 | Definitions are of what something is, and that is universal [Aristotle] |
12075 | An Aristotelian definition is causal [Aristotle, by Witt] |
12384 | Definition by division needs predicates, which are well ordered and thorough [Aristotle] |
9066 | You can define objects by progressively identifying what is the same and what is different [Aristotle] |
12382 | What it is and why it is are the same; screening defines and explains an eclipse [Aristotle] |
2145 | In mathematics certain things have to be accepted without further explanation [Plato] |
1668 | An axiom is a principle which must be understood if one is to learn anything [Aristotle] |
12376 | Demonstrations by reductio assume excluded middle [Aristotle] |
12373 | Something holds universally when it is proved of an arbitrary and primitive case [Aristotle] |
12363 | Everything is either asserted or denied truly [Aristotle] |
13004 | Aristotle's axioms (unlike Euclid's) are assumptions awaiting proof [Aristotle, by Leibniz] |
12377 | Mathematics is concerned with forms, not with superficial properties [Aristotle] |
8726 | Geometry can lead the mind upwards to truth and philosophy [Plato] |
12372 | The essence of a triangle comes from the line, mentioned in any account of triangles [Aristotle] |
12369 | A unit is what is quantitatively indivisible [Aristotle] |
9863 | We aim for elevated discussion of pure numbers, not attaching them to physical objects [Plato] |
9864 | In pure numbers, all ones are equal, with no internal parts [Plato] |
8727 | Geometry is not an activity, but the study of unchanging knowledge [Plato] |
9861 | The same thing is both one and an unlimited number at the same time [Plato] |
9862 | To become rational, philosophers must rise from becoming into being [Plato] |
21818 | Being depends on the Good, which is not itself being, but superior to being [Plato] |
2061 | The best things (gods, healthy bodies, good souls) are least liable to change [Plato] |
6562 | Plato's reality has unchanging Parmenidean forms, and Heraclitean flux [Plato, by Fogelin] |
18910 | To seek truth, study the real connections between subjects and attributes [Aristotle] |
2142 | The plurality of beautiful things must belong to a single class, because they have a single particular character [Plato] |
1675 | Separate Forms aren't needed for logic, but universals (one holding of many) are essential [Aristotle] |
5094 | Plato's Forms are said to have no location in space [Plato, by Aristotle] |
12043 | Forms are not universals, as they don't cover every general term [Plato, by Annas] |
2159 | Craftsmen making furniture refer to the form, but no one manufactures the form of furniture [Plato] |
17 | A Form applies to a set of particular things with the same name [Plato] |
12122 | Plato mistakenly thought forms were totally abstracted away from matter [Bacon on Plato] |
5574 | Plato's Forms not only do not come from the senses, but they are beyond possibility of sensing [Plato, by Kant] |
1677 | We can forget the Forms, as they are irrelevant, and not needed in giving demonstrations [Aristotle] |
1687 | Why are being terrestrial and a biped combined in the definition of man, but being literate and musical aren't? [Aristotle] |
1681 | Units are positionless substances, and points are substances with position [Aristotle] |
12146 | Definitions recognise essences, so are not themselves essences [Aristotle] |
17039 | The predicates of a thing's nature are necessary to it [Aristotle] |
11994 | Aristotelian essences are properties mentioned at the starting point of a science [Aristotle, by Kung] |
12381 | What is necessary cannot be otherwise [Aristotle] |
1690 | A stone travels upwards by a forced necessity, and downwards by natural necessity [Aristotle] |
2133 | Knowledge must be of the permanent unchanging nature of things [Plato] |
12072 | For Aristotle knowledge is explanatory, involving understanding, and principles or causes [Aristotle, by Witt] |
12073 | 'Episteme' means grasping causes, universal judgments, explanation, and teaching [Aristotle, by Witt] |
12378 | The reason why is the key to knowledge [Aristotle] |
12364 | We understand a thing when we know its explanation and its necessity [Aristotle] |
12370 | Some understanding, of immediate items, is indemonstrable [Aristotle] |
12366 | We only understand something when we know its explanation [Aristotle] |
1685 | No one has mere belief about something if they think it HAS to be true [Aristotle] |
1673 | Knowledge proceeds from principles, so it is hard to know if we know [Aristotle] |
12379 | You cannot understand anything through perception [Aristotle] |
16725 | Some knowledge is lost if you lose a sense, and there is no way the knowledge can be replaced [Aristotle] |
2162 | If theory and practice conflict, the best part of the mind accepts theory, so the other part is of lower grade [Plato] |
23309 | Aristotle's concepts of understanding and explanation mean he is not a pure empiricist [Aristotle, by Frede,M] |
1693 | Animals may have some knowledge if they retain perception, but understanding requires reasons to be given [Aristotle] |
9067 | Many memories of the same item form a single experience [Aristotle] |
2140 | True belief without knowledge is like blind people on the right road [Plato] |
1671 | Sceptics say justification is an infinite regress, or it stops at the unknowable [Aristotle] |
1670 | When you understand basics, you can't be persuaded to change your mind [Aristotle] |
1691 | Aim to get definitions of the primitive components, thus establishing the kind, and work towards the attributes [Aristotle] |
12383 | There must be definitions before demonstration is possible [Aristotle] |
1674 | All demonstration is concerned with existence, axioms and properties [Aristotle] |
24068 | Demonstration is more than entailment, as the explanatory order must match the causal order [Aristotle, by Koslicki] |
17310 | Aristotle gets asymmetric consequence from demonstration, which reflects real causal priority [Aristotle, by Koslicki] |
21359 | Aristotle doesn't actually apply his theory of demonstration to his practical science [Leroi on Aristotle] |
1667 | Premises must be true, primitive and immediate, and prior to and explanatory of conclusions [Aristotle] |
12365 | We can know by demonstration, which is a scientific deduction leading to understanding [Aristotle] |
10918 | Demonstrative understanding rests on necessary features of the thing in itself [Aristotle] |
12374 | Demonstrations must be necessary, and that depends on the middle term [Aristotle] |
12148 | Demonstrations are syllogisms which give explanations [Aristotle] |
1679 | Universal demonstrations are about thought; particular demonstrations lead to perceptions [Aristotle] |
1680 | Demonstration is better with fewer presuppositions, and it is quicker if these are familiar [Aristotle] |
12147 | The principles of demonstrations are definitions [Aristotle] |
12371 | A demonstration is a deduction which proceeds from necessities [Aristotle] |
1683 | We learn universals from many particulars [Aristotle] |
12367 | What is most universal is furthest away, and the particulars are nearest [Aristotle] |
12385 | Are particulars explained more by universals, or by other particulars? [Aristotle] |
12380 | Universals are valuable because they make the explanations plain [Aristotle] |
1689 | Explanation is of the status of a thing, inferences to it, initiation of change, and purpose [Aristotle] |
1686 | What we seek and understand are facts, reasons, existence, and identity [Aristotle] |
12357 | Explanation and generality are inseparable [Aristotle, by Wedin] |
1669 | The foundation or source is stronger than the thing it causes [Aristotle] |
1678 | Universals give better explanations, because they are self-explanatory and primitive [Aristotle] |
2096 | Is the function of the mind management, authority and planning - or is it one's whole way of life? [Plato] |
6009 | Psychic conflict is clear if appetite is close to the body and reason fairly separate [Plato, by Modrak] |
6041 | There is a third element to the mind - spirit - lying between reason and appetite [Plato] |
2127 | The mind has parts, because we have inner conflicts [Plato] |
1737 | The soul seems to have an infinity of parts [Aristotle on Plato] |
9068 | Perception creates primitive immediate principles by building a series of firm concepts [Aristotle] |
9069 | A perception lodging in the soul creates a primitive universal, which becomes generalised [Aristotle] |
9070 | We learn primitives and universals by induction from perceptions [Aristotle] |
5945 | The 'Republic' is a great work of rhetorical theory [Lawson-Tancred on Plato] |
12368 | Negation takes something away from something [Aristotle] |
1692 | If you shouldn't argue in metaphors, then you shouldn't try to define them either [Aristotle] |
23316 | For Plato and Aristotle there is no will; there is only rational desire for what is seen as good [Plato, by Frede,M] |
16 | We avoid evil either through a natural aversion, or because we have acquired knowledge [Plato] |
16565 | Without the surface decoration, poetry shows only appearances and nothing of what is real [Plato] |
2160 | Representation is two steps removed from the truth [Plato] |
2163 | Artists should be excluded from a law-abiding community, because they destroy the rational mind [Plato] |
2135 | Truth is closely related to proportion [Plato] |
2141 | I suggest that we forget about trying to define goodness itself for the time being [Plato] |
1869 | The good cannot be expressed in words, but imprints itself upon the soul [Plato, by Celsus] |
4115 | Plato found that he could only enforce rational moral justification by creating an authoritarian society [Williams,B on Plato] |
4547 | Plato measured the degree of reality by the degree of value [Nietzsche on Plato] |
2094 | A thing's function is what it alone can do, or what it does better than other things [Plato] |
2095 | If something has a function then it has a state of being good [Plato] |
2129 | Goodness is mental health, badness is mental sickness [Plato] |
12 | If we were invisible, would the just man become like the unjust? [Plato] |
2168 | Clever criminals do well at first, but not in the long run [Plato] |
2137 | The main aim is to understand goodness, which gives everything its value and advantage [Plato] |
2139 | Every person, and every activity, aims at the good [Plato] |
2143 | Good has the same role in the world of knowledge as the sun has in the physical world [Plato] |
2147 | The sight of goodness leads to all that is fine and true and right [Plato] |
4007 | For Plato we abandon honour and pleasure once we see the Good [Plato, by Taylor,C] |
2144 | Goodness makes truth and knowledge possible [Plato] |
2164 | Bad is always destructive, where good preserves and benefits [Plato] |
2138 | Pleasure is commonly thought to be the good, though the more ingenious prefer knowledge [Plato] |
2070 | Even people who think pleasure is the good admit that there are bad pleasures [Plato] |
2157 | Nice smells are intensive, have no preceding pain, and no bad after-effect [Plato] |
2134 | Philosophers are concerned with totally non-physical pleasures [Plato] |
2156 | There are three types of pleasure, for reason, for spirit and for appetite [Plato] |
2158 | Pleasure-seekers desperately seek illusory satisfaction, like filling a leaky vessel [Plato] |
2123 | Excessive pleasure deranges people, making the other virtues impossible [Plato] |
2166 | We should behave well even if invisible, for the health of the mind [Plato] |
2097 | Isn't it better to have a reputation for goodness than to actually be good? [Plato] |
19946 | Morality is a compromise, showing restraint, to avoid suffering wrong without compensation [Plato] |
5 | Justice is merely the interests of the stronger party [Plato] |
7 | Surely you don't return a borrowed weapon to a mad friend? [Plato] |
8 | Is right just the interests of the powerful? [Plato] |
15 | Sin first, then sacrifice to the gods from the proceeds [Plato] |
5944 | For Plato, virtue is its own reward [Lawson-Tancred on Plato] |
2155 | True goodness requires mental unity and harmony [Plato] |
2126 | A good community necessarily has wisdom, courage, self-discipline and morality [Plato] |
23562 | If the parts of our soul do their correct work, we will be just people, and will act justly [Plato] |
2092 | Simonides said morality is helping one's friends and harming one's enemies [Plato] |
19889 | People need society because the individual has too many needs [Plato] |
19890 | All exchanges in a community are for mutual benefit [Plato] |
10 | After a taste of mutual harm, men make a legal contract to avoid it [Plato] |
23561 | People doing their jobs properly is the fourth cardinal virtue for a city [Plato] |
2149 | Reluctant rulers make a better and more unified administration [Plato] |
2132 | Only rule by philosophers of integrity can keep a community healthy [Plato] |
2131 | Is there anything better for a community than to produce excellent people? [Plato] |
2152 | Dialectic is the highest and most important part of the curriculum [Plato] |
2148 | To gain knowledge, turn away from the world of change, and focus on true goodness [Plato] |
2153 | Compulsory intellectual work never remains in the mind [Plato] |
12375 | Whatever holds of a kind intrinsically holds of it necessarily [Aristotle] |
2630 | If Plato's God is immaterial, he will lack consciousness, wisdom, pleasure and movement, which are essential to him [Cicero on Plato] |
1688 | Properties must be proved, but not essence; but existents are not a kind, so existence isn't part of essence [Aristotle] |
14 | If the gods are non-existent or indifferent, why bother to deceive them? [Plato] |
16713 | Philosophers are the forefathers of heretics [Tertullian] |
6610 | I believe because it is absurd [Tertullian] |
2165 | Something is unlikely to be immortal if it is imperfectly made from diverse parts [Plato] |
13 | Is the supreme reward for virtue to be drunk for eternity? [Plato] |
2120 | God is responsible for the good things, but we must look elsewhere for the cause of the bad things [Plato] |