78 ideas
19441 | All philosophies presuppose their historical moment, and arise from it [Feuerbach] |
19456 | Philosophy is distinguished from other sciences by its complete lack of presuppositions [Feuerbach] |
19442 | I don't study Plato for his own sake; the primary aim is always understanding [Feuerbach] |
6928 | Only that which can be an object of religion is an object of philosophy [Feuerbach] |
21829 | Philosophy aims to understand how things (broadly understood) hang together (broadly understood) [Sellars] |
6918 | Philosophy should not focus on names, but on the determined nature of things [Feuerbach] |
6904 | Modern philosophy begins with Descartes' abstraction from sensation and matter [Feuerbach] |
6931 | Empiricism is right about ideas, but forgets man himself as one of our objects [Feuerbach] |
6933 | The laws of reality are also the laws of thought [Feuerbach] |
19444 | Each proposition has an antithesis, and truth exists as its refutation [Feuerbach] |
19445 | A dialectician has to be his own opponent [Feuerbach] |
19443 | Truth forges an impersonal unity between people [Feuerbach] |
10482 | The logic of ZF is classical first-order predicate logic with identity [Boolos] |
10492 | A few axioms of set theory 'force themselves on us', but most of them don't [Boolos] |
18192 | Do the Replacement Axioms exceed the iterative conception of sets? [Boolos, by Maddy] |
7785 | The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos] |
10485 | Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos] |
10484 | The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos] |
13547 | Limitation of Size is weak (Fs only collect is something the same size does) or strong (fewer Fs than objects) [Boolos, by Potter] |
10699 | Does a bowl of Cheerios contain all its sets and subsets? [Boolos] |
14249 | Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley] |
10225 | Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro] |
10830 | Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos] |
10736 | Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo] |
10780 | Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo] |
10829 | A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos] |
10697 | Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos] |
10832 | '∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos] |
13671 | Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro] |
10267 | We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro] |
10698 | Plural forms have no more ontological commitment than to first-order objects [Boolos] |
7806 | Boolos invented plural quantification [Boolos, by Benardete,JA] |
10834 | Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos] |
13841 | Why should compactness be definitive of logic? [Boolos, by Hacking] |
10491 | Infinite natural numbers is as obvious as infinite sentences in English [Boolos] |
10483 | Mathematics and science do not require very high orders of infinity [Boolos] |
10833 | Many concepts can only be expressed by second-order logic [Boolos] |
10490 | Mathematics isn't surprising, given that we experience many objects as abstract [Boolos] |
6919 | Absolute thought remains in another world from being [Feuerbach] |
19457 | Being is what is undetermined, and hence indistinguishable [Feuerbach] |
6920 | Being posits essence, and my essence is my being [Feuerbach] |
6921 | Particularity belongs to being, whereas generality belongs to thought [Feuerbach] |
6926 | The only true being is of the senses, perception, feeling and love [Feuerbach] |
6550 | Reduction requires that an object's properties consist of its constituents' properties and relations [Sellars] |
10700 | First- and second-order quantifiers are two ways of referring to the same things [Boolos] |
19446 | To our consciousness it is language which looks unreal [Feuerbach] |
10488 | It is lunacy to think we only see ink-marks, and not word-types [Boolos] |
10487 | I am a fan of abstract objects, and confident of their existence [Boolos] |
10489 | We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos] |
6908 | Consciousness is absolute reality, and everything exists through consciousness [Feuerbach] |
19447 | The Absolute is the 'and' which unites 'spirit and nature' [Feuerbach] |
6932 | Ideas arise through communication, and reason is reached through community [Feuerbach] |
6935 | In man the lowest senses of smell and taste elevate themselves to intellectual acts [Feuerbach] |
8793 | If observation is knowledge, it is not just an experience; it is a justification in the space of reasons [Sellars] |
8792 | Observations like 'this is green' presuppose truths about what is a reliable symptom of what [Sellars] |
6382 | The 'grain problem' says physical objects are granular, where sensations appear not to be [Sellars, by Polger] |
19451 | When absorbed in deep reflection, is your reason in control, or is it you? [Feuerbach] |
8791 | The concept of 'green' involves a battery of other concepts [Sellars] |
6925 | The new philosophy thinks of the concrete in a concrete (not a abstract) manner [Feuerbach] |
8693 | An 'abstraction principle' says two things are identical if they are 'equivalent' in some respect [Boolos] |
6924 | Plotinus was ashamed to have a body [Feuerbach] |
6927 | If you love nothing, it doesn't matter whether something exists or not [Feuerbach] |
19450 | Reason, love and will are the highest perfections and essence of man - the purpose of his life [Feuerbach] |
19458 | Egoism is the only evil, love the only good; genuine love produces all the other virtues [Feuerbach] |
6934 | Man is not a particular being, like animals, but a universal being [Feuerbach] |
6936 | The essence of man is in community, but with distinct individuals [Feuerbach] |
19448 | Consciousness is said to distinguish man from animals - consciousness of his own species [Feuerbach] |
19454 | A God needs justice, kindness and wisdom, but those concepts don't depend on the concept of God [Feuerbach] |
6913 | God's existence cannot be separated from essence and concept, which can only be thought as existing [Feuerbach] |
19452 | The nature of God is an expression of human nature [Feuerbach] |
6903 | If God is only an object for man, then only the essence of man is revealed in God [Feuerbach] |
6923 | God is what man would like to be [Feuerbach] |
6911 | God is for us a mere empty idea, which we fill with our own ego and essence [Feuerbach] |
19453 | If love, goodness and personality are human, the God who is their source is anthropomorphic [Feuerbach] |
6902 | Catholicism concerns God in himself, Protestantism what God is for man [Feuerbach] |
19449 | Religion is the consciousness of the infinite [Feuerbach] |
6905 | Absolute idealism is the realized divine mind of Leibnizian theism [Feuerbach] |
19455 | Today's atheism will tomorrow become a religion [Feuerbach] |