76 ideas
24146 | All the major problems were formulated before Socrates [Nietzsche] |
24142 | What matters is how humans can be developed [Nietzsche] |
24143 | Thinkers might agree some provisional truths, as methodological assumptions [Nietzsche] |
24125 | Aristotle enjoyed the sham generalities of a system, as the peak of happiness! [Nietzsche] |
18835 | Logic doesn't have a metaphysical basis, but nor can logic give rise to the metaphysics [Rumfitt] |
20744 | Phenomenologists say all experience is about something and is directed [Aho] |
24147 | Thoughts are uncertain, and are just occasions for interpretation [Nietzsche] |
18819 | The idea that there are unrecognised truths is basic to our concept of truth [Rumfitt] |
18826 | 'True at a possibility' means necessarily true if what is said had obtained [Rumfitt] |
18803 | Semantics for propositions: 1) validity preserves truth 2) non-contradition 3) bivalence 4) truth tables [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] |
18815 | Logic is higher-order laws which can expand the range of any sort of deduction [Rumfitt] |
18804 | The case for classical logic rests on its rules, much more than on the Principle of Bivalence [Rumfitt] |
18805 | Classical logic rules cannot be proved, but various lines of attack can be repelled [Rumfitt] |
18827 | If truth-tables specify the connectives, classical logic must rely on Bivalence [Rumfitt] |
18813 | Logical consequence is a relation that can extended into further statements [Rumfitt] |
18808 | Normal deduction presupposes the Cut Law [Rumfitt] |
24137 | Mathematics is just accurate inferences from definitions, and doesn't involve objects [Nietzsche] |
18840 | When faced with vague statements, Bivalence is not a compelling principle [Rumfitt] |
18802 | In specifying a logical constant, use of that constant is quite unavoidable [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] |
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] |
24131 | There is no 'being'; it is just the opposition to nothingness [Nietzsche] |
24151 | I only want thinking that is anchored in body, senses and earth [Nietzsche] |
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] |
18816 | Metaphysical modalities respect the actual identities of things [Rumfitt] |
18825 | S5 is the logic of logical necessity [Rumfitt] |
18824 | Since possibilities are properties of the world, calling 'red' the determination of a determinable seems right [Rumfitt] |
18828 | If two possibilities can't share a determiner, they are incompatible [Rumfitt] |
18821 | Possibilities are like possible worlds, but not fully determinate or complete [Rumfitt] |
24150 | We can only understand through concepts, which subsume particulars in generalities [Nietzsche] |
18831 | Medieval logicians said understanding A also involved understanding not-A [Rumfitt] |
24138 | Strongly believed a priori is not certain; it may just be a feature of our existence [Nietzsche] |
24130 | An affirmative belief is present in every basic sense impression [Nietzsche] |
18820 | In English 'evidence' is a mass term, qualified by 'little' and 'more' [Rumfitt] |
24124 | We now have innumerable perspectives to draw on [Nietzsche] |
20736 | Science has to abstract out the subjective attributes of things, focusing on what is objective [Aho] |
24145 | Mind is a mechanism of abstraction and simplification, aimed at control [Nietzsche] |
24144 | A cognitive mechanism wanting to know itself is absurd! [Nietzsche] |
24139 | A 'person' is just one possible abstraction from a bundle of qualities [Nietzsche] |
24133 | I have perfected fatalism, as recurrence and denial of the will [Nietzsche] |
24152 | Fate is inspiring, if you understand you are part of it [Nietzsche] |
24129 | We start with images, then words, and then concepts, to which emotions attach [Nietzsche] |
18817 | We understand conditionals, but disagree over their truth-conditions [Rumfitt] |
18829 | The truth grounds for 'not A' are the possibilities incompatible with truth grounds for A [Rumfitt] |
24127 | Judging actions by intentions - like judging painters by their thoughts! [Nietzsche] |
24149 | Values need a perspective, of preserving some aspect of life [Nietzsche] |
24148 | If you love something, it is connected with everything, so all must be affirmed as good [Nietzsche] |
24135 | Egoism should not assume that all egos are equal [Nietzsche] |
24132 | After Socrates virtue is misunderstood, as good for all, not for individuals [Nietzsche] |
24126 | We contain multitudes of characters, which can brought into the open [Nietzsche] |
20734 | Anxiety, nausea, guilt and absurdity shake us up, revealing our freedom and limits [Aho] |
20733 | Our 'existence' is how we create ourselves, unconstrained by any prior 'essence' [Aho] |
20753 | The self is constituted by its choices made within a social context [Aho] |
24136 | Who can endure the thought of eternal recurrence? [Nietzsche] |
24154 | If you want one experience repeated, you must want all of them [Nietzsche] |
20738 | Social contracts and markets have made society seem disconnected and artificial [Aho] |
24153 | Humans are determined by community, so its preservation is their most valued drive [Nietzsche] |
24134 | There is always slavery, whether we like it or not [Nietzsche] |
24128 | After history following God, or a people, or an idea, we now see it in terms of animals [Nietzsche] |
24140 | Cause and effect is a hypothesis, based on our supposed willing of actions [Nietzsche] |
24141 | Having a sense of time presupposes absolute time [Nietzsche] |
20737 | Protestantism brought the modern emphasis on inner states of the soul [Aho] |
20766 | Four Noble Truths: life is suffering, caused by attachment, it is avoidable, there is a path [Aho] |