114 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] |
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] |
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] |
20778 | Stoics like syllogisms, for showing what is demonstrative, which corrects opinions [Stoic school, by Diog. Laertius] |
17926 | Rejecting double negation elimination undermines reductio proofs [Colyvan] |
17925 | Showing a disproof is impossible is not a proof, so don't eliminate double negation [Colyvan] |
17924 | Excluded middle says P or not-P; bivalence says P is either true or false [Colyvan] |
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] |
17929 | Löwenheim proved his result for a first-order sentence, and Skolem generalised it [Colyvan] |
17930 | Axioms are 'categorical' if all of their models are isomorphic [Colyvan] |
21554 | Sets always exceed terms, so all the sets must exceed all the sets [Lackey] |
21553 | It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey] |
17928 | Ordinal numbers represent order relations [Colyvan] |
17923 | Intuitionists only accept a few safe infinities [Colyvan] |
17941 | Infinitesimals were sometimes zero, and sometimes close to zero [Colyvan] |
17922 | Reducing real numbers to rationals suggested arithmetic as the foundation of maths [Colyvan] |
17936 | Transfinite induction moves from all cases, up to the limit ordinal [Colyvan] |
17940 | Most mathematical proofs are using set theory, but without saying so [Colyvan] |
17931 | Structuralism say only 'up to isomorphism' matters because that is all there is to it [Colyvan] |
17932 | If 'in re' structures relies on the world, does the world contain rich enough structures? [Colyvan] |
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] |
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] |
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] |
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] |
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] |
17943 | Probability supports Bayesianism better as degrees of belief than as ratios of frequencies [Colyvan] |
17939 | Mathematics can reveal structural similarities in diverse systems [Colyvan] |
17938 | Mathematics can show why some surprising events have to occur [Colyvan] |
17934 | Proof by cases (by 'exhaustion') is said to be unexplanatory [Colyvan] |
17933 | Reductio proofs do not seem to be very explanatory [Colyvan] |
17935 | If inductive proofs hold because of the structure of natural numbers, they may explain theorems [Colyvan] |
17942 | Can a proof that no one understands (of the four-colour theorem) really be a proof? [Colyvan] |
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] |
17937 | Mathematical generalisation is by extending a system, or by abstracting away from it [Colyvan] |
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] |
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 ] |