118 ideas
7170 | 'Wisdom' attempts to get beyond perspectives, making it hostile to life [Nietzsche] |
7167 | Words such as 'I' and 'do' and 'done to' are placed at the point where our ignorance begins [Nietzsche] |
7196 | Pessimism is laughable, because the world cannot be evaluated [Nietzsche] |
7137 | Is a 'philosopher' now impossible, because knowledge is too vast for an overview? [Nietzsche] |
18835 | Logic doesn't have a metaphysical basis, but nor can logic give rise to the metaphysics [Rumfitt] |
7132 | Philosophers should create and fight for their concepts, not just clean and clarify them [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] |
7188 | Logic tries to understand the world according to a man-made scheme [Nietzsche] |
7145 | Logic is not driven by truth, but desire for a simple single viewpoint [Nietzsche] |
7144 | Logic must falsely assume that identical cases exist [Nietzsche] |
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] |
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] |
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] |
8698 | Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend] |
9557 | Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara] |
10263 | Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman] |
7153 | We can't be realists, because we don't know what being is [Nietzsche] |
7174 | Categories are not metaphysical truths, but inventions in the service of needs [Nietzsche] |
7175 | Philosophers find it particularly hard to shake off belief in necessary categories [Nietzsche] |
7189 | Maybe there are only subjects, and 'objects' result from relations between subjects [Nietzsche] |
7207 | Counting needs unities, but that doesn't mean they exist; we borrowed it from the concept of 'I' [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] |
7161 | The essence of a thing is only an opinion about the 'thing' [Nietzsche] |
7134 | Something can be irrefutable; that doesn't make it true [Nietzsche] |
18816 | Metaphysical modalities respect the actual identities of things [Rumfitt] |
18825 | S5 is the logic of logical necessity [Rumfitt] |
7186 | There are no necessary truths, but something must be held to be true [Nietzsche] |
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] |
18831 | Medieval logicians said understanding A also involved understanding not-A [Rumfitt] |
7154 | We can't use our own self to criticise our own capacity for knowledge! [Nietzsche] |
7146 | Belief in the body is better established than belief in the mind [Nietzsche] |
7156 | Sense perceptions contain values (useful, so pleasant) [Nietzsche] |
7181 | Pain shows the value of the damage, not what has been damaged [Nietzsche] |
7129 | Perception is unconscious, and we are only conscious of processed perceptions [Nietzsche] |
18820 | In English 'evidence' is a mass term, qualified by 'little' and 'more' [Rumfitt] |
7149 | Comprehending everything is impossible, because it abolishes perspectives [Nietzsche] |
7169 | Is the perspectival part of the essence, or just a relation between beings? [Nietzsche] |
7182 | 'Perspectivism': the world has no meaning, but various interpretations give it countless meanings [Nietzsche] |
7183 | 'Subjectivity' is an interpretation, since subjects (and interpreters) are fictions [Nietzsche] |
7133 | There are different eyes, so different 'truths', so there is no truth [Nietzsche] |
7139 | Explanation is just showing the succession of things ever more clearly [Nietzsche] |
7131 | The intellect and senses are a simplifying apparatus [Nietzsche] |
7152 | With protoplasm ½+½=2, so the soul is not an indivisible monad [Nietzsche] |
7130 | Unity is not in the conscious 'I', but in the organism, which uses the self as a tool [Nietzsche] |
7155 | Consciousness exists to the extent that consciousness is useful [Nietzsche] |
7143 | Consciousness is a 'tool' - just as the stomach is a tool [Nietzsche] |
7157 | We think each thought causes the next, unaware of the hidden struggle beneath [Nietzsche] |
7148 | The 'I' is a conceptual synthesis, not the governor of our being [Nietzsche] |
7138 | The 'I' is a fiction used to make the world of becoming 'knowable' [Nietzsche] |
7135 | 'Freedom of will' is the feeling of having a dominating force [Nietzsche] |
7171 | Rationality is a scheme we cannot cast away [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] |
7209 | There is no will; weakness of will is splitting of impulses, strong will is coordination under one impulse [Nietzsche] |
7194 | Experiencing a thing as beautiful is to experience it wrongly [Nietzsche] |
7136 | Morality is a system of values which accompanies a being's life [Nietzsche] |
7163 | Morality is merely interpretations, which are extra-moral in origin [Nietzsche] |
7147 | Values are innate and inherited [Nietzsche] |
7190 | Our values express an earlier era's conditions for survival and growth [Nietzsche] |
7201 | Knowledge, wisdom and goodness only have value relative to a goal [Nietzsche] |
7205 | Altruism is praised by the egoism of the weak, who want everyone to be looked after [Nietzsche] |
7141 | A living being is totally 'egoistic' [Nietzsche] |
7168 | Modest people express happiness as 'Not bad' [Nietzsche] |
7159 | The only happiness is happiness with illusion [Nietzsche] |
7197 | Pleasure needs dissatisfaction, boundaries and resistances [Nietzsche] |
7165 | Virtue is wasteful, as it reduces us all to being one another's nurse [Nietzsche] |
7193 | Virtue for everyone removes its charm of being exceptional and aristocratic [Nietzsche] |
7191 | What does not kill us makes us stronger [Nietzsche] |
7151 | Courage, compassion, insight, solitude are the virtues, with courtesy a necessary vice [Nietzsche] |
7185 | Replace the categorical imperative by the natural imperative [Nietzsche] |
7164 | Not feeling harnessed to a system of 'ends' is a wonderful feeling of freedom [Nietzsche] |
7198 | Nihilism results from measuring the world by our categories which are purely invented [Nietzsche] |
7150 | By developing herd virtues man fixes what has up to now been the 'unfixed animal' [Nietzsche] |
7177 | Virtues from outside are dangerous, and they should come from within [Nietzsche] |
7172 | Existence without meaning or goal or end, eternally recurring, is a terrible thought [Nietzsche] |
7166 | Man is above all a judging animal [Nietzsche] |
7204 | The upholding of the military state is needed to maintain the strong human type [Nietzsche] |
7173 | Rights arise out of contracts, which need a balance of power [Nietzsche] |
7176 | 'Purpose' is like the sun, where most heat is wasted, and a tiny part has 'purpose' [Nietzsche] |
7195 | If the world aimed at an end, it would have reached it by now [Nietzsche] |
7206 | Things are strong or weak, and do not behave regularly or according to rules or compulsions [Nietzsche] |
7140 | Chemical 'laws' are merely the establishment of power relations between weaker and stronger [Nietzsche] |
7142 | All motions and 'laws' are symptoms of inner events, traceable to the will to power [Nietzsche] |
7178 | The utility of an organ does not explain its origin, on the contrary! [Nietzsche] |
7179 | Survival might undermine an individual's value, or prevent its evolution [Nietzsche] |
7180 | Darwin overestimates the influence of 'external circumstances' [Nietzsche] |
7192 | Remove goodness and wisdom from our concept of God. Being the highest power is enough! [Nietzsche] |
7158 | Morality kills religion, because a Christian-moral God is unbelievable [Nietzsche] |
7199 | It is dishonest to invent a being containing our greatest values, thus ignoring why they exist and are valuable [Nietzsche] |
7162 | Morality can only be upheld by belief in God and a 'hereafter' [Nietzsche] |
7208 | Paganism is a form of thanking and affirming life? [Nietzsche] |
7160 | Christian belief is kept alive because it is soothing - the proof based on pleasure [Nietzsche] |
7203 | In heaven all the interesting men are missing [Nietzsche] |
7200 | A combination of great power and goodness would mean the disastrous abolition of evil [Nietzsche] |