38 ideas
1642 | We must fight fiercely for knowledge, understanding and intelligence [Plato] |
1645 | The desire to split everything into its parts is unpleasant and unphilosophical [Plato] |
287 | Good analysis involves dividing things into appropriate forms without confusion [Plato] |
1644 | Dialectic should only be taught to those who already philosophise well [Plato] |
20478 | In discussion a person's opinions are shown to be in conflict, leading to calm self-criticism [Plato] |
18915 | If facts are the truthmakers, they are not in the world [Engelbretsen] |
18919 | There are no 'falsifying' facts, only an absence of truthmakers [Engelbretsen] |
18913 | Traditional term logic struggled to express relations [Engelbretsen] |
10688 | 'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall] |
18907 | Term logic rests on negated terms or denial, and that propositions are tied pairs [Engelbretsen] |
18912 | Was logic a branch of mathematics, or mathematics a branch of logic? [Engelbretsen] |
10690 | Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall] |
10691 | Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall] |
10695 | Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall] |
10689 | A step is a 'material consequence' if we need contents as well as form [Beall/Restall] |
18922 | Logical syntax is actually close to surface linguistic form [Engelbretsen] |
18905 | Propositions can be analysed as pairs of terms glued together by predication [Engelbretsen] |
18908 | Standard logic only negates sentences, even via negated general terms or predicates [Engelbretsen] |
10696 | A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall] |
10693 | Models are mathematical structures which interpret the non-logical primitives [Beall/Restall] |
10692 | Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall] |
11278 | What does 'that which is not' refer to? [Plato] |
1643 | If statements about non-existence are logically puzzling, so are statements about existence [Plato] |
7022 | To be is to have a capacity, to act on other things, or to receive actions [Plato] |
18917 | Existence and nonexistence are characteristics of the world, not of objects [Engelbretsen] |
1641 | Some alarming thinkers think that only things which you can touch exist [Plato] |
18916 | Facts are not in the world - they are properties of the world [Engelbretsen] |
10784 | Whenever there's speech it has to be about something [Plato] |
18921 | Individuals are arranged in inclusion categories that match our semantics [Engelbretsen] |
16122 | Good thinkers spot forms spread through things, or included within some larger form [Plato] |
10422 | The not-beautiful is part of the beautiful, though opposed to it, and is just as real [Plato] |
15855 | If we see everything as separate, we can then give no account of it [Plato] |
1637 | A soul without understanding is ugly [Plato] |
18918 | Terms denote objects with properties, and statements denote the world with that property [Engelbretsen] |
18920 | 'Socrates is wise' denotes a sentence; 'that Socrates is wise' denotes a proposition [Engelbretsen] |
18906 | Negating a predicate term and denying its unnegated version are quite different [Engelbretsen] |
1636 | Wickedness is an illness of the soul [Plato] |
1638 | Didactic education is hard work and achieves little [Plato] |