146 ideas
20866 | Wise men participate in politics, especially if it shows moral progress [Stoic school, by Stobaeus] |
20854 | Wise men are never astonished at things which other people take to be wonders [Stoic school, by Diog. Laertius] |
20815 | No wise man has yet been discovered [Stoic school, by Cicero] |
20806 | Stoic physics concerns cosmos, elements and causes (with six detailed divisions) [Stoic school, by Diog. Laertius] |
20839 | Ethics studies impulse, good, passion, virtue, goals, value, action, appropriateness, encouragement [Stoic school, by Diog. Laertius] |
20867 | True philosophising is not memorising ideas, but living by them [Stoic school, by Stobaeus] |
21675 | Some facts are indispensable for an effect, and others actually necessitate the effect [Stoic school, by Cicero] |
14456 | 'Socrates is human' expresses predication, and 'Socrates is a man' expresses identity [Russell] |
21810 | The Stoics distinguished spoken logos from logos within the mind [Stoic school, by Plotinus] |
20775 | Stoics study canons, criteria and definitions, in order to find the truth [Stoic school, by Diog. Laertius] |
21393 | Stoics believed that rational capacity in man (logos) is embodied in the universe [Stoic school, by Long] |
20776 | Dialectics is mastery of question and answer form [Stoic school, by Diog. Laertius] |
14426 | A definition by 'extension' enumerates items, and one by 'intension' gives a defining property [Russell] |
8468 | The sentence 'procrastination drinks quadruplicity' is meaningless, rather than false [Russell, by Orenstein] |
20849 | Falsehoods corrupt a mind, producing passions and instability [Stoic school, by Diog. Laertius] |
20823 | The truth bearers are said to be the signified, or the signifier, or the meaning of the signifier [Stoic school, by Sext.Empiricus] |
14454 | An argument 'satisfies' a function φx if φa is true [Russell] |
20778 | Stoics like syllogisms, for showing what is demonstrative, which corrects opinions [Stoic school, by Diog. Laertius] |
14453 | The Darapti syllogism is fallacious: All M is S, all M is P, so some S is P' - but if there is no M? [Russell] |
14427 | We can enumerate finite classes, but an intensional definition is needed for infinite classes [Russell] |
14428 | Members define a unique class, whereas defining characteristics are numerous [Russell] |
14447 | Infinity says 'for any inductive cardinal, there is a class having that many terms' [Russell] |
14440 | We may assume that there are infinite collections, as there is no logical reason against them [Russell] |
14443 | The British parliament has one representative selected from each constituency [Russell] |
14445 | Choice shows that if any two cardinals are not equal, one must be the greater [Russell] |
14444 | Choice is equivalent to the proposition that every class is well-ordered [Russell] |
14446 | We can pick all the right or left boots, but socks need Choice to insure the representative class [Russell] |
14459 | Reducibility: a family of functions is equivalent to a single type of function [Russell] |
14461 | Propositions about classes can be reduced to propositions about their defining functions [Russell] |
8469 | Russell's proposal was that only meaningful predicates have sets as their extensions [Russell, by Orenstein] |
8745 | Classes are logical fictions, and are not part of the ultimate furniture of the world [Russell] |
14452 | All the propositions of logic are completely general [Russell] |
14462 | In modern times, logic has become mathematical, and mathematics has become logical [Russell] |
10057 | Logic can only assert hypothetical existence [Russell] |
12444 | Logic is concerned with the real world just as truly as zoology [Russell] |
14464 | Logic can be known a priori, without study of the actual world [Russell] |
21400 | Stoics avoided universals by paraphrasing 'Man is...' as 'If something is a man, then it is...' [Stoic school, by Long] |
20788 | The contradictory of a contradictory is an affirmation [Stoic school, by Diog. Laertius] |
14458 | Asking 'Did Homer exist?' is employing an abbreviated description [Russell] |
10450 | Russell admitted that even names could also be used as descriptions [Russell, by Bach] |
14457 | Names are really descriptions, except for a few words like 'this' and 'that' [Russell] |
7311 | The only genuine proper names are 'this' and 'that' [Russell] |
14455 | 'I met a unicorn' is meaningful, and so is 'unicorn', but 'a unicorn' is not [Russell] |
14442 | If straight lines were like ratios they might intersect at a 'gap', and have no point in common [Russell] |
14438 | New numbers solve problems: negatives for subtraction, fractions for division, complex for equations [Russell] |
13510 | Could a number just be something which occurs in a progression? [Russell, by Hart,WD] |
14436 | A series can be 'Cut' in two, where the lower class has no maximum, the upper no minimum [Russell] |
14439 | A complex number is simply an ordered couple of real numbers [Russell] |
14421 | Discovering that 1 is a number was difficult [Russell] |
14424 | Numbers are needed for counting, so they need a meaning, and not just formal properties [Russell] |
14441 | The formal laws of arithmetic are the Commutative, the Associative and the Distributive [Russell] |
14420 | Infinity and continuity used to be philosophy, but are now mathematics [Russell] |
14431 | The definition of order needs a transitive relation, to leap over infinite intermediate terms [Russell] |
14422 | Any founded, non-repeating series all reachable in steps will satisfy Peano's axioms [Russell] |
14423 | '0', 'number' and 'successor' cannot be defined by Peano's axioms [Russell] |
14425 | A number is something which characterises collections of the same size [Russell] |
14434 | What matters is the logical interrelation of mathematical terms, not their intrinsic nature [Russell] |
14465 | Maybe numbers are adjectives, since 'ten men' grammatically resembles 'white men' [Russell] |
13414 | For Russell, numbers are sets of equivalent sets [Russell, by Benacerraf] |
14449 | There is always something psychological about inference [Russell] |
14463 | Existence can only be asserted of something described, not of something named [Russell] |
14429 | Classes are logical fictions, made from defining characteristics [Russell] |
21594 | Stoics applied bivalence to sorites situations, so everyone is either vicious or wholly virtuous [Stoic school, by Williamson] |
20824 | Stoics have four primary categories: substrates, qualities, dispositions, relative dispositions [Stoic school, by Simplicius] |
14430 | If a relation is symmetrical and transitive, it has to be reflexive [Russell] |
14432 | 'Asymmetry' is incompatible with its converse; a is husband of b, so b can't be husband of a [Russell] |
20817 | Platonic Forms are just our thoughts [Stoic school, by Ps-Plutarch] |
6037 | Stoics say matter has qualities, and substance underlies it, with no form or qualities [Stoic school, by Chalcidius] |
20826 | How is separateness possible, if separated things are always said to be united? [Alexander on Stoic school] |
20825 | How is divisibility possible, if stoics say things remain united when they are divided? [Alexander on Stoic school] |
20872 | Stoics say wholes are more than parts, but entirely consist of parts [Stoic school, by Sext.Empiricus] |
14435 | The essence of individuality is beyond description, and hence irrelevant to science [Russell] |
20790 | A proposition is possible if it is true when nothing stops it being true [Stoic school, by Diog. Laertius] |
20789 | Conditionals are false if the falsehood of the conclusion does not conflict with the antecedent [Stoic school, by Diog. Laertius] |
12197 | Inferring q from p only needs p to be true, and 'not-p or q' to be true [Russell] |
14450 | All forms of implication are expressible as truth-functions [Russell] |
14460 | If something is true in all possible worlds then it is logically necessary [Russell] |
20783 | Knowledge is a secure grasp of presentations which cannot be reversed by argument [Stoic school, by Diog. Laertius] |
20868 | Two sorts of opinion: either poorly grounded belief, or weak belief [Stoic school, by Stobaeus] |
20784 | There are non-sensible presentations, which come to us through the intellect [Stoic school, by Diog. Laertius] |
20803 | Stoics say we are born like a blank sheet of paper; the first concepts on it are sensations [Stoic school, by Ps-Plutarch] |
6025 | At birth the soul is a blank sheet ready to be written on [Stoic school, by Aetius] |
20781 | Non-graspable presentations are from what doesn't exist, or are not clear and distinct [Stoic school, by Diog. Laertius] |
20792 | Stoic perception is a presentation to which one voluntarily assents [Stoic school, by Stobaeus] |
18278 | Kant showed that our perceptions are partly constructed from our concepts [Reichenbach] |
20805 | All our concepts come from experience, directly, or by expansion, reduction or compounding [Stoic school, by Sext.Empiricus] |
20782 | Dialectic is a virtue which contains other virtues [Stoic school, by Diog. Laertius] |
1772 | For Stoics knowledge is an assertion which never deviates from the truth [Stoic school, by Diog. Laertius] |
20779 | Demonstration derives what is less clear from what is clear [Stoic school, by Diog. Laertius] |
14433 | Mathematically expressed propositions are true of the world, but how to interpret them? [Russell] |
23251 | The Stoics think that soul in the narrow sense is nothing but reason [Stoic school, by Frede,M] |
20809 | Eight parts of the soul: five senses, seeds, speech and reason [Stoic school, by Diog. Laertius] |
23321 | Division of the soul divides a person, reducing responsibility for the nonrational part [Stoic school, by Frede,M] |
23267 | Stoics say the soul is a mixture of air and fire [Stoic school, by Galen] |
20785 | Our conceptions arise from experience, similarity, analogy, transposition, composition and opposition [Stoic school, by Diog. Laertius] |
7502 | For Stoics the true self is defined by what I can be master of [Stoic school, by Foucault] |
23327 | Stoics expanded the idea of compulsion, and contracted what counts as one's own actions [Stoic school, by Frede,M] |
7672 | The free will problem was invented by the Stoics [Stoic school, by Berlin] |
23315 | The nearest to ancient determinism is Stoic fate, but that is controlled by a sympathetic God [Stoic school, by Frede,M] |
4014 | Stoics classify passions according to the opinion of good and bad which they imply [Stoic school, by Taylor,C] |
23988 | There are four basic emotions: pleasure or delight, distress, appetite, and fear [Stoic school, by Cicero] |
6594 | Stoics said that correct judgement needs an invincible criterion of truth [Stoic school, by Fogelin] |
20804 | Concepts are intellectual phantasms [Stoic school, by Ps-Plutarch] |
20786 | Predicates are incomplete 'lekta' [Stoic school, by Diog. Laertius] |
14451 | Propositions are mainly verbal expressions of true or false, and perhaps also symbolic thoughts [Russell] |
23322 | Humans have rational impressions, which are conceptual, and are true or false [Stoic school, by Frede,M] |
20777 | Rhetoric has three types, four modes, and four sections [Stoic school, by Diog. Laertius] |
23323 | Earlier Stoics speak of assent, but not of choice, let alone of a will [Stoic school, by Frede,M] |
23305 | Stoics said responsibility depends on rationality [Stoic school, by Sorabji] |
1907 | Stoics use 'kalon' (beautiful) as a synonym for 'agathon' (good) [Bury on Stoic school] |
22757 | Stoics say that folly alone is evil [Stoic school, by Sext.Empiricus] |
20846 | Prime values apply to the life in agreement; useful values apply to the natural life [Stoic school, by Diog. Laertius] |
20847 | The appraiser's value is what is set by someone experienced in the facts [Stoic school, by Diog. Laertius] |
20870 | The goal is to live consistently with the constitution of a human being [Stoic school, by Clement] |
22238 | Stoics said health is an 'indifferent', but they still considered it preferable [Stoic school, by Pormann] |
20861 | The health of the soul is a good blend of beliefs [Stoic school, by Stobaeus] |
3553 | Stoic morality says that one's own happiness will lead to impartiality [Stoic school, by Annas] |
20851 | Virtuous men do not feel sexual desire, which merely focuses on physical beauty [Stoic school, by Diog. Laertius] |
7499 | Stoicism was an elitist option to lead a beautiful life [Stoic school, by Foucault] |
20843 | Final goods: confidence, prudence, freedom, enjoyment and no pain, good spirits, virtue [Stoic school, by Diog. Laertius] |
22753 | Happiness for the Stoics was an equable flow of life [Stoic school, by Sext.Empiricus] |
20865 | Happiness is the end and goal, achieved by living virtuously, in agreement, and according to nature [Stoic school, by Stobaeus] |
20840 | Stoics say pleasure is at most a byproduct of finding what is suitable for us [Stoic school, by Diog. Laertius] |
20852 | Rapture is a breakdown of virtue [Stoic school, by Diog. Laertius] |
6895 | If humans are citizens of the world (not just a state) then virtue is all good human habits [Stoic school, by Mautner] |
20848 | An appropriate action is one that can be defended, perhaps by its consistency. [Stoic school, by Diog. Laertius] |
20844 | Honour is just, courageous, orderly or knowledgeable. It is praiseworthy, or functions well [Stoic school, by Diog. Laertius] |
4012 | The Stoics rejected entirely the high value that had been placed on contemplation [Stoic school, by Taylor,C] |
5073 | Stoics do not despise external goods, but subject them to reason, and not to desire [Taylor,R on Stoic school] |
20862 | Crafts like music and letters are virtuous conditions, and they accord with virtue [Stoic school, by Stobaeus] |
5072 | For Stoics, obligations are determined by social role [Taylor,R on Stoic school] |
21396 | Man is distinguished by knowing conditional truths, because impressions are connected [Stoic school, by Long] |
1781 | Stoics favour a mixture of democracy, monarchy and aristocracy [Stoic school, by Diog. Laertius] |
21384 | The Stoics saw the whole world as a city [Stoic school, by Long] |
20859 | The best government blends democracy, monarchy and aristocracy [Stoic school, by Diog. Laertius] |
3561 | Stoics originated the concept of natural law, as agreed correct reasoning [Stoic school, by Annas] |
3046 | Stoics say a wise man will commit suicide if he has a good enough reason [Stoic school, by Diog. Laertius] |
20858 | Suicide is reasonable, for one's country or friends, or because of very bad health [Stoic school, by Diog. Laertius] |
3556 | Stoic 'nature' is deterministic, physical and teleological [Stoic school, by Annas] |
22743 | Unlike Epicurus, Stoics distinguish the Whole from the All, with the latter including the void [Stoic school, by Sext.Empiricus] |
13296 | The cosmos has two elements - passive matter, and active cause (or reason) which shapes it [Stoic school, by Seneca] |
20827 | The cosmos is regularly consumed and reorganised by the primary fire [Stoic school, by Aristocles] |
7815 | Early Stoics called the logos 'god', meaning not a being, but the principle of the universe [Stoic school] |
6038 | Stoics say god is matter, or an inseparable quality of it, or is the power within it [Stoic school, by Chalcidius] |
20829 | Virtuous souls endure till the end, foolish souls for a short time, animal souls not at all [Stoic school, by Eusebius] |
6039 | Stoics say virtuous souls last till everything ends in fire, but foolish ones fade away [Stoic school, by ] |