148 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] |
18835 | Logic doesn't have a metaphysical basis, but nor can logic give rise to the metaphysics [Rumfitt] |
21675 | Some facts are indispensable for an effect, and others actually necessitate the effect [Stoic school, by Cicero] |
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] |
21810 | The Stoics distinguished spoken logos from logos within the mind [Stoic school, by Plotinus] |
20776 | Dialectics is mastery of question and answer form [Stoic school, by Diog. Laertius] |
18819 | The idea that there are unrecognised truths is basic to our concept of truth [Rumfitt] |
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] |
18826 | 'True at a possibility' means necessarily true if what is said had obtained [Rumfitt] |
20778 | Stoics like syllogisms, for showing what is demonstrative, which corrects opinions [Stoic school, by Diog. Laertius] |
18803 | Semantics for propositions: 1) validity preserves truth 2) non-contradition 3) bivalence 4) truth tables [Rumfitt] |
12204 | The logic of metaphysical necessity is S5 [Rumfitt] |
18814 | 'Absolute necessity' would have to rest on S5 [Rumfitt] |
18798 | It is the second-order part of intuitionistic logic which actually negates some classical theorems [Rumfitt] |
18799 | Intuitionists can accept Double Negation Elimination for decidable propositions [Rumfitt] |
18830 | Most set theorists doubt bivalence for the Continuum Hypothesis, but still use classical logic [Rumfitt] |
18843 | The iterated conception of set requires continual increase in axiom strength [Rumfitt] |
18836 | A set may well not consist of its members; the empty set, for example, is a problem [Rumfitt] |
18837 | A set can be determinate, because of its concept, and still have vague membership [Rumfitt] |
18845 | If the totality of sets is not well-defined, there must be doubt about the Power Set Axiom [Rumfitt] |
11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
18815 | Logic is higher-order laws which can expand the range of any sort of deduction [Rumfitt] |
9390 | Logic guides thinking, but it isn't a substitute for it [Rumfitt] |
18805 | Classical logic rules cannot be proved, but various lines of attack can be repelled [Rumfitt] |
18804 | The case for classical logic rests on its rules, much more than on the Principle of Bivalence [Rumfitt] |
18827 | If truth-tables specify the connectives, classical logic must rely on Bivalence [Rumfitt] |
12195 | Soundness in argument varies with context, and may be achieved very informally indeed [Rumfitt] |
12199 | There is a modal element in consequence, in assessing reasoning from suppositions [Rumfitt] |
12201 | We reject deductions by bad consequence, so logical consequence can't be deduction [Rumfitt] |
18813 | Logical consequence is a relation that can extended into further statements [Rumfitt] |
18808 | Normal deduction presupposes the Cut Law [Rumfitt] |
18840 | When faced with vague statements, Bivalence is not a compelling principle [Rumfitt] |
12194 | Contradictions include 'This is red and not coloured', as well as the formal 'B and not-B' [Rumfitt] |
21400 | Stoics avoided universals by paraphrasing 'Man is...' as 'If something is a man, then it is...' [Stoic school, by Long] |
11210 | Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt] |
18802 | In specifying a logical constant, use of that constant is quite unavoidable [Rumfitt] |
11212 | The sense of a connective comes from primitively obvious rules of inference [Rumfitt] |
20788 | The contradictory of a contradictory is an affirmation [Stoic school, by Diog. Laertius] |
12198 | Geometrical axioms in logic are nowadays replaced by inference rules (which imply the logical truths) [Rumfitt] |
18800 | Introduction rules give deduction conditions, and Elimination says what can be deduced [Rumfitt] |
18809 | Logical truths are just the assumption-free by-products of logical rules [Rumfitt] |
18807 | Monotonicity means there is a guarantee, rather than mere inductive support [Rumfitt] |
18842 | Maybe an ordinal is a property of isomorphic well-ordered sets, and not itself a set [Rumfitt] |
17462 | A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [Rumfitt] |
18834 | Infinitesimals do not stand in a determinate order relation to zero [Rumfitt] |
18846 | Cantor and Dedekind aimed to give analysis a foundation in set theory (rather than geometry) [Rumfitt] |
17461 | Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt] |
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] |
9389 | Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt] |
18839 | An object that is not clearly red or orange can still be red-or-orange, which sweeps up problem cases [Rumfitt] |
18838 | The extension of a colour is decided by a concept's place in a network of contraries [Rumfitt] |
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] |
14532 | A distinctive type of necessity is found in logical consequence [Rumfitt, by Hale/Hoffmann,A] |
18816 | Metaphysical modalities respect the actual identities of things [Rumfitt] |
12200 | A logically necessary statement need not be a priori, as it could be unknowable [Rumfitt] |
12193 | Logical necessity is when 'necessarily A' implies 'not-A is contradictory' [Rumfitt] |
12202 | Narrow non-modal logical necessity may be metaphysical, but real logical necessity is not [Rumfitt] |
18825 | S5 is the logic of logical necessity [Rumfitt] |
20790 | A proposition is possible if it is true when nothing stops it being true [Stoic school, by Diog. Laertius] |
18828 | If two possibilities can't share a determiner, they are incompatible [Rumfitt] |
18824 | Since possibilities are properties of the world, calling 'red' the determination of a determinable seems right [Rumfitt] |
20789 | Conditionals are false if the falsehood of the conclusion does not conflict with the antecedent [Stoic school, by Diog. Laertius] |
12203 | If a world is a fully determinate way things could have been, can anyone consider such a thing? [Rumfitt] |
18821 | Possibilities are like possible worlds, but not fully determinate or complete [Rumfitt] |
20783 | Knowledge is a secure grasp of presentations which cannot be reversed by argument [Stoic school, by Diog. Laertius] |
18831 | Medieval logicians said understanding A also involved understanding not-A [Rumfitt] |
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] |
18820 | In English 'evidence' is a mass term, qualified by 'little' and 'more' [Rumfitt] |
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] |
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] |
18817 | We understand conditionals, but disagree over their truth-conditions [Rumfitt] |
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] |
11214 | We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt] |
18829 | The truth grounds for 'not A' are the possibilities incompatible with truth grounds for A [Rumfitt] |
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] |
20858 | Suicide is reasonable, for one's country or friends, or because of very bad health [Stoic school, by Diog. Laertius] |
3046 | Stoics say a wise man will commit suicide if he has a good enough reason [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] |
1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |
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 ] |