17 ideas
| 22021 | Romantics explored beautiful subjectivity, and the re-enchantment of nature [Pinkard] |
| Full Idea: Early Romanticism can be seen as the exploration of subjective interiority and as the re-enchantment of nature (as organic). Hegel said they had the idea of a 'beautiful soul', which (he said) either paralysed action, or made them smug. | |
| From: Terry Pinkard (German Philosophy 1760-1860 [2002], 06) | |
| A reaction: [compressed, inc Note 1] A major dilemma of life is the extent of our social engagement, because it makes life worthwhile, but pollutes the mind with continual conflicts. |
| 22010 | The combination of Kant and the French Revolution was an excited focus for German philosophy [Pinkard] |
| Full Idea: After the French Revolution, philosophy suddenly became the key rallying point for an entire generation of German intellectuals, who had been reading Kant as the harbinger of a new order. | |
| From: Terry Pinkard (German Philosophy 1760-1860 [2002], Pt II Intro) | |
| A reaction: Kant was a harbinger because he offered an autonomous status to each individual, rather than being subservient to a social order. |
| 22002 | Wolff's version of Leibniz dominated mid-18th C German thought [Pinkard] |
| Full Idea: The dominant philosophy of mid-eighteenth century Germany was Wolffianism, a codified and almost legalistically organised form of Leibnizian thought. | |
| From: Terry Pinkard (German Philosophy 1760-1860 [2002], Intro) | |
| A reaction: Kant grew up in this intellectual climate. |
| 22036 | In Hegel's time naturalism was called 'Spinozism' [Pinkard] |
| Full Idea: In Hegel's time the shorthand for the Naturalistic worldview was 'Spinozism'. | |
| From: Terry Pinkard (German Philosophy 1760-1860 [2002], 10) | |
| A reaction: Spinozism hit Germany like a bomb in 1786, when it was reported that the poet Hölderlin was a fan of Spinoza. |
| 7785 | The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos] |
| Full Idea: We should abandon the idea that the use of plural forms commits us to the existence of sets/classes… Entities are not to be multiplied beyond necessity. There are not two sorts of things in the world, individuals and collections. | |
| From: George Boolos (To be is to be the value of a variable.. [1984]), quoted by Henry Laycock - Object | |
| A reaction: The problem of quantifying over sets is notoriously difficult. Try http://plato.stanford.edu/entries/object/index.html. |
| 10699 | Does a bowl of Cheerios contain all its sets and subsets? [Boolos] |
| Full Idea: Is there, in addition to the 200 Cheerios in a bowl, also a set of them all? And what about the vast number of subsets of Cheerios? It is haywire to think that when you have some Cheerios you are eating a set. What you are doing is: eating the Cheerios. | |
| From: George Boolos (To be is to be the value of a variable.. [1984], p.72) | |
| A reaction: In my case Boolos is preaching to the converted. I am particularly bewildered by someone (i.e. Quine) who believes that innumerable sets exist while 'having a taste for desert landscapes' in their ontology. |
| 10225 | Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro] |
| Full Idea: Boolos has proposed an alternative understanding of monadic, second-order logic, in terms of plural quantifiers, which many philosophers have found attractive. | |
| From: report of George Boolos (To be is to be the value of a variable.. [1984]) by Stewart Shapiro - Philosophy of Mathematics 3.5 |
| 10736 | Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo] |
| Full Idea: In an indisputable technical result, Boolos showed how plural quantifiers can be used to interpret monadic second-order logic. | |
| From: report of George Boolos (To be is to be the value of a variable.. [1984], Intro) by Øystein Linnebo - Plural Quantification Exposed Intro |
| 10780 | Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo] |
| Full Idea: Boolos discovered that any sentence of monadic second-order logic can be translated into plural first-order logic. | |
| From: report of George Boolos (To be is to be the value of a variable.. [1984], §1) by Øystein Linnebo - Plural Quantification Exposed p.74 |
| 10697 | Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos] |
| Full Idea: Indispensable to cross-reference, lacking distinctive content, and pervading thought and discourse, 'identity' is without question a logical concept. Adding it to predicate calculus significantly increases the number and variety of inferences possible. | |
| From: George Boolos (To be is to be the value of a variable.. [1984], p.54) | |
| A reaction: It is not at all clear to me that identity is a logical concept. Is 'existence' a logical concept? It seems to fit all of Boolos's criteria? I say that all he really means is that it is basic to thought, but I'm not sure it drives the reasoning process. |
| 13671 | Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro] |
| Full Idea: Boolos proposes that second-order quantifiers be regarded as 'plural quantifiers' are in ordinary language, and has developed a semantics along those lines. In this way they introduce no new ontology. | |
| From: report of George Boolos (To be is to be the value of a variable.. [1984]) by Stewart Shapiro - Foundations without Foundationalism 7 n32 | |
| A reaction: This presumably has to treat simple predicates and relations as simply groups of objects, rather than having platonic existence, or something. |
| 10267 | We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro] |
| Full Idea: Standard second-order existential quantifiers pick out a class or a property, but Boolos suggests that they be understood as a plural quantifier, like 'there are objects' or 'there are people'. | |
| From: report of George Boolos (To be is to be the value of a variable.. [1984]) by Stewart Shapiro - Philosophy of Mathematics 7.4 | |
| A reaction: This idea has potential application to mathematics, and Lewis (1991, 1993) 'invokes it to develop an eliminative structuralism' (Shapiro). |
| 10698 | Plural forms have no more ontological commitment than to first-order objects [Boolos] |
| Full Idea: Abandon the idea that use of plural forms must always be understood to commit one to the existence of sets of those things to which the corresponding singular forms apply. | |
| From: George Boolos (To be is to be the value of a variable.. [1984], p.66) | |
| A reaction: It seems to be an open question whether plural quantification is first- or second-order, but it looks as if it is a rewriting of the first-order. |
| 7806 | Boolos invented plural quantification [Boolos, by Benardete,JA] |
| Full Idea: Boolos virtually patented the new device of plural quantification. | |
| From: report of George Boolos (To be is to be the value of a variable.. [1984]) by José A. Benardete - Logic and Ontology | |
| A reaction: This would be 'there are some things such that...' |
| 10700 | First- and second-order quantifiers are two ways of referring to the same things [Boolos] |
| Full Idea: Ontological commitment is carried by first-order quantifiers; a second-order quantifier needn't be taken to be a first-order quantifier in disguise, having special items, collections, as its range. They are two ways of referring to the same things. | |
| From: George Boolos (To be is to be the value of a variable.. [1984], p.72) | |
| A reaction: If second-order quantifiers are just a way of referring, then we can see first-order quantifiers that way too, so we could deny 'objects'. |
| 22048 | Idealism is the link between reason and freedom [Pinkard] |
| Full Idea: Idealism was conceived as a link between reason and freedom. | |
| From: Terry Pinkard (German Philosophy 1760-1860 [2002], 14 Conc) | |
| A reaction: I'm beginning to see the Romantic era as the Age of Freedom, which followed the Age of Reason. This idea fits that picture nicely. Pinkard says that paradoxes resulted from the attemptl |
| 20486 | Only liberty, equality and sympathy can stand up to anti-social people [Kropotkin] |
| Full Idea: Liberty, equality and practical human sympathy are the only effective barriers we can oppose to the anti-social instincts of certain among us. | |
| From: Peter (Pyotr) Kropotkin (Law and Authority [1886], 1 'Anarchism'), quoted by Jonathan Wolff - An Introduction to Political Philosophy (Rev) | |
| A reaction: One might state it more succinctly as 'only the social can oppose the anti-social'. The dominance in society of essentially anti-social people seems to have become a major political fact in 2017, in the UK and the USA. |