104 ideas
7113 | Phenomenology assumes that all consciousness is of something [Sartre] |
9641 | Definitions should be replaceable by primitives, and should not be creative [Brown,JR] |
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] |
18907 | Term logic rests on negated terms or denial, and that propositions are tied pairs [Engelbretsen] |
9634 | Set theory says that natural numbers are an actual infinity (to accommodate their powerset) [Brown,JR] |
9615 | Nowadays conditions are only defined on existing sets [Brown,JR] |
9613 | Naïve set theory assumed that there is a set for every condition [Brown,JR] |
9617 | The 'iterative' view says sets start with the empty set and build up [Brown,JR] |
9642 | A flock of birds is not a set, because a set cannot go anywhere [Brown,JR] |
18912 | Was logic a branch of mathematics, or mathematics a branch of logic? [Engelbretsen] |
9605 | If a proposition is false, then its negation is true [Brown,JR] |
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] |
9649 | Axioms are either self-evident, or stipulations, or fallible attempts [Brown,JR] |
9638 | Berry's Paradox finds a contradiction in the naming of huge numbers [Brown,JR] |
9604 | Mathematics is the only place where we are sure we are right [Brown,JR] |
9622 | 'There are two apples' can be expressed logically, with no mention of numbers [Brown,JR] |
9648 | π is a 'transcendental' number, because it is not the solution of an equation [Brown,JR] |
9621 | Mathematics represents the world through structurally similar models. [Brown,JR] |
9646 | There is no limit to how many ways something can be proved in mathematics [Brown,JR] |
9647 | Computers played an essential role in proving the four-colour theorem of maps [Brown,JR] |
9643 | Set theory may represent all of mathematics, without actually being mathematics [Brown,JR] |
9644 | When graphs are defined set-theoretically, that won't cover unlabelled graphs [Brown,JR] |
9625 | To see a structure in something, we must already have the idea of the structure [Brown,JR] |
9628 | Sets seem basic to mathematics, but they don't suit structuralism [Brown,JR] |
9606 | The irrationality of root-2 was achieved by intellect, not experience [Brown,JR] |
9610 | Numbers are not abstracted from particulars, because each number is a particular [Brown,JR] |
9612 | There is an infinity of mathematical objects, so they can't be physical [Brown,JR] |
9620 | Empiricists base numbers on objects, Platonists base them on properties [Brown,JR] |
9630 | The most brilliant formalist was Hilbert [Brown,JR] |
9629 | For nomalists there are no numbers, only numerals [Brown,JR] |
9639 | Does some mathematics depend entirely on notation? [Brown,JR] |
9608 | There are no constructions for many highly desirable results in mathematics [Brown,JR] |
9645 | Constructivists say p has no value, if the value depends on Goldbach's Conjecture [Brown,JR] |
22227 | For Sartre there is only being for-itself, or being in-itself (which is beyond experience) [Sartre, by Daigle] |
18917 | Existence and nonexistence are characteristics of the world, not of objects [Engelbretsen] |
9619 | David's 'Napoleon' is about something concrete and something abstract [Brown,JR] |
18916 | Facts are not in the world - they are properties of the world [Engelbretsen] |
18921 | Individuals are arranged in inclusion categories that match our semantics [Engelbretsen] |
7114 | The consciousness that says 'I think' is not the consciousness that thinks [Sartre] |
7112 | The Cogito depends on a second-order experience, of being conscious of consciousness [Sartre] |
7119 | Is the Cogito reporting an immediate experience of doubting, or the whole enterprise of doubting? [Sartre] |
20743 | Appearances do not hide the essence; appearances are the essence [Sartre] |
7125 | A consciousness can conceive of no other consciousness than itself [Sartre] |
7122 | We can never, even in principle, grasp other minds, because the Ego is self-conceiving [Sartre] |
7108 | The eternal truth of 2+2=4 is what gives unity to the mind which regularly thinks it [Sartre] |
24016 | Consciousness always transcends itself [Sartre] |
6151 | Sartre says consciousness is just directedness towards external objects [Sartre, by Rowlands] |
7111 | Consciousness exists as consciousness of itself [Sartre] |
22226 | Since we are a consciousness, Sartre entirely rejected the unconscious mind [Sartre, by Daigle] |
7107 | Intentionality defines, transcends and unites consciousness [Sartre] |
3847 | Man is nothing else but the sum of his actions [Sartre] |
7109 | If you think of '2+2=4' as the content of thought, the self must be united transcendentally [Sartre] |
7106 | The Ego is not formally or materially part of consciousness, but is outside in the world [Sartre] |
7117 | How could two I's, the reflective and the reflected, communicate with each other? [Sartre] |
7123 | Knowing yourself requires an exterior viewpoint, which is necessarily false [Sartre] |
22225 | My ego is more intimate to me, but not more certain than other egos [Sartre] |
7116 | When we are unreflective (as when chasing a tram) there is no 'I' [Sartre] |
7124 | The Ego never appears except when we are not looking for it [Sartre] |
7120 | It is theoretically possible that the Ego consists entirely of false memories [Sartre] |
7110 | If the 'I' is transcendental, it unnecessarily splits consciousness in two [Sartre] |
7115 | Maybe it is the act of reflection that brings 'me' into existence [Sartre] |
7121 | The Ego only appears to reflection, so it is cut off from the World [Sartre] |
3846 | Man IS freedom [Sartre] |
24013 | An emotion and its object form a unity, so emotion is a mode of apprehension [Sartre] |
24017 | Emotion is one of our modes of understanding our Being-in-the-World [Sartre] |
24014 | Emotions are a sort of bodily incantation which brings a magic to the world [Sartre] |
24015 | Emotions makes us believe in and live in a new world [Sartre] |
6164 | Sartre rejects mental content, and the idea that the mind has hidden inner features [Sartre, by Rowlands] |
9611 | 'Abstract' nowadays means outside space and time, not concrete, not physical [Brown,JR] |
9609 | The older sense of 'abstract' is where 'redness' or 'group' is abstracted from particulars [Brown,JR] |
9640 | A term can have not only a sense and a reference, but also a 'computational role' [Brown,JR] |
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] |
7074 | Man is a useless passion [Sartre] |
6687 | Man is the desire to be God [Sartre] |
3843 | There is no human nature [Sartre] |
20762 | There are no values to justify us, and no excuses [Sartre] |
3852 | If values depend on us, freedom is the foundation of all values [Sartre] |
22228 | Sartre's freedom is not for whimsical action, but taking responsibility for our own values [Sartre, by Daigle] |
22233 | Love is the demand to be loved [Sartre] |
20764 | In becoming what we want to be we create what we think man ought to be [Sartre] |
3848 | Cowards are responsible for their cowardice [Sartre] |
20763 | When my personal freedom becomes involved, I must want freedom for everyone else [Sartre] |
22229 | Existentialists says that cowards and heroes make themselves [Sartre] |
20755 | Fear concerns the world, but 'anguish' comes from confronting my self [Sartre] |
3842 | Existence before essence (or begin with the subjective) [Sartre] |
6868 | 'Existence precedes essence' means we have no pre-existing self, but create it through existence [Sartre, by Le Poidevin] |
3844 | Existentialism says man is whatever he makes of himself [Sartre] |
22232 | Authenticity is taking responsibility for a situation, with all its risks and emotions [Sartre] |
20760 | Sincerity is not authenticity, because it only commits to one particular identity [Sartre, by Aho] |
22231 | We flee from the anguish of freedom by seeing ourselves objectively, as determined [Sartre] |
20754 | It is dishonest to offer passions as an excuse [Sartre] |
22230 | Sartre gradually realised that freedom is curtailed by the weight of situation [Sartre, by Daigle] |
3851 | If I do not choose, that is still a choice [Sartre] |
6571 | When a man must choose between his mother and the Resistance, no theory can help [Sartre, by Fogelin] |
20491 | States have a monopoly of legitimate violence [Sartre, by Wolff,J] |
21240 | The truth about events always comes from the oppressed and disadvantaged [Sartre, by Bakewell] |
9635 | Given atomism at one end, and a finite universe at the other, there are no physical infinities [Brown,JR] |
3845 | Without God there is no intelligibility or value [Sartre] |