15 ideas
13445 | Descartes showed a one-one order-preserving match between points on a line and the real numbers [Descartes, by Hart,WD] |
Full Idea: Descartes founded analytic geometry on the assumption that there is a one-one order-preserving correspondence between the points on a line and the real numbers. | |
From: report of René Descartes (works [1643]) by William D. Hart - The Evolution of Logic 1 |
1630 | We can only see an alien language in terms of our own thought structures (e.g. physical/abstract) [Quine] |
Full Idea: We are prone to talk about physical and abstract objects. It is hard to know how else to talk, because we are bound to adapt any alien pattern to our own in the very process of understanding or translating the alien sentences. | |
From: Willard Quine (Speaking of Objects [1960], pt.I,p.1) | |
A reaction: It is fine for mathematicians (or economists) to refer to their subject matter as 'objects', but ontologists really need to be more careful. Some very silly theories can otherwise result. |
5747 | "No entity without identity" - our ontology must contain items with settled identity conditions [Quine, by Melia] |
Full Idea: Quine's well-known slogan "no entity without identity" means that no object should be admitted into our ontology unless its identity conditions, the conditions that say which object it is, have been settled. | |
From: report of Willard Quine (Speaking of Objects [1960]) by Joseph Melia - Modality Ch.4 | |
A reaction: This invites science fiction scenarios, where we admit the existence of something before we have a clue what it is (whether it is physical, hallucination, divine..). Quine's slogan seems attractive but optimistic. How 'settled'? |
7925 | There is no proper identity concept for properties, and it is hard to distinguish one from two [Quine] |
Full Idea: The lack of a proper identity concept for attributes (properties) is a lack that philosophers feel impelled to supply; for, what sense is there in saying there are attributes when there is no sense in saying when there is one attribute and when two? | |
From: Willard Quine (Speaking of Objects [1960], IV) | |
A reaction: This strikes me as being a really crucial question. There is a mistaken tendency to take any possible linguistic predicate as implying a natural property. I sympathise with the sceptics here (see Ideas 4029, 3906, 3322). How to individuate properties? |
13387 | Our conceptual scheme becomes more powerful when we posit abstract objects [Quine] |
Full Idea: There is no denying the access of power that accrues to our conceptual scheme through the positing of abstract objects. | |
From: Willard Quine (Speaking of Objects [1960], §5) | |
A reaction: This seems right, both in its use of the word 'posit', and in its general pragmatic claim. So why? If they enable us to grapple with the world better, it must be because of their power of generalisation. They are nets thrown over chunks of reality. |
8277 | I prefer 'no object without identity' to Quine's 'no entity without identity' [Lowe on Quine] |
Full Idea: To adapt Quine's famous slogan ('no entity without identity'), I prefer to say 'no object without identity'. | |
From: comment on Willard Quine (Speaking of Objects [1960], p.52) by E.J. Lowe - The Possibility of Metaphysics 7.1 | |
A reaction: Quine was trying to make us all more scientific, but Lowe is closer to common sense. The sky is an entity, most of us would say, but with very shaky identity-conditions. A wave of the sea is a good example. |
16774 | Descartes thinks distinguishing substances from aggregates is pointless [Descartes, by Pasnau] |
Full Idea: Descartes thinks it is a pointless relic of scholastic metaphysics to dispute over the boundaries between substances and mere aggregates. | |
From: report of René Descartes (works [1643]) by Robert Pasnau - Metaphysical Themes 1274-1671 25.6 | |
A reaction: This is Pasnau's carefully considered conclusion, with which others may not agree. It presumably captures the attitude of modern science generally to such issues. |
7400 | Descartes said images can refer to objects without resembling them (as words do) [Descartes, by Tuck] |
Full Idea: Descartes argued (in 'The World') that just as words refer to objects, but they do not resemble them, in the same way, visual images or other sensory inputs relate to objects without depicting them. | |
From: report of René Descartes (works [1643]) by Richard Tuck - Hobbes | |
A reaction: This strikes me as a rather significant and plausible claim, which might contain the germ of the idea of a language of thought. It is also the basis for the recent view that language is the best route to understanding the mind. |
4310 | We have inner awareness of our freedom [Descartes] |
Full Idea: We have inner awareness of our freedom. | |
From: René Descartes (works [1643]) | |
A reaction: This begs a few questions. I may be directly aware that I have not been hypnotised, but no one would accept it as proof. |
6553 | Descartes discussed the interaction problem, and compared it with gravity [Descartes, by Lycan] |
Full Idea: Descartes himself was well aware of the interaction problem, and corresponded uncomfortably with Princess Elizabeth on the matter; …he pointed out that gravity is causal despite not being a physical object. | |
From: report of René Descartes (works [1643]) by William Lycan - Consciousness n1.3 | |
A reaction: Lycan observes that at least gravity is in space-time, unlike the Cartesian mind. Pierre Gassendi had pointed out the problem to Descartes in the Fifth Objection to the 'Meditations' (see Idea 3400). |
1631 | You could know the complete behavioural conditions for a foreign language, and still not know their beliefs [Quine] |
Full Idea: We could know the necessary and sufficient stimulatory conditions of every possible act of utterance, in a foreign language, and still not know how to determine what objects the speakers of that language believe in. | |
From: Willard Quine (Speaking of Objects [1960], pt.III,p.11) | |
A reaction: I just don't believe this, because the same scepticism then creeps into discussions of native speakers of a single language, and all communcation is blighted - which is nonsense. |
1632 | Translation of our remote past or language could be as problematic as alien languages [Quine] |
Full Idea: Translation of our remote past or future discourse into the terms we now know could be about as tenuous and arbitrary a projection as translation of a heathen language was seen to be. | |
From: Willard Quine (Speaking of Objects [1960], pt.V,p.25) | |
A reaction: Is he seriously saying that we can't understand Shakespeare, because holism implies that we would have to be Elizabethans? So scholarship is in vain? Is yesterday the 'past'? |
20344 | Music is not an expressive art, because it expresses no familiar emotions [Hanslick, by Wollheim] |
Full Idea: Hanslick concluded from the fact that music doesn't express definite feelings like piety, love, joy, or sadness, that it isn't an art of expression. | |
From: report of Eduard Hanslick (The Beautiful in Music [1854]) by Richard Wollheim - Art and Its Objects 48 | |
A reaction: Whether music is 'expressive' (which it may not be) should not be confused with whether it is emotional, which it clearly is, even in its coolest examples. Hanslick viewed music as a code, not a language. |
19676 | Nature is devoid of thought [Descartes, by Meillassoux] |
Full Idea: It is Descartes who ratifies the idea that nature is devoid of thought. | |
From: report of René Descartes (works [1643]) by Quentin Meillassoux - After Finitude; the necessity of contingency 5 | |
A reaction: His dualism is crucial, along with his ontological argument, because they make all mentality supernatural. Remember, for Descartes animals are mindless machines. |
6518 | Matter can't just be Descartes's geometry, because a filler of the spaces is needed [Robinson,H on Descartes] |
Full Idea: Notoriously, the Cartesian idea that matter is purely geometrical will not do, for it leaves no distinction between matter and empty volumes: a filler for these volumes is required. | |
From: comment on René Descartes (works [1643]) by Howard Robinson - Perception IX.3 | |
A reaction: Descartes thinks of matter as 'extension'. Descartes's error seems so obvious that it is a puzzle why he made it. He may have confused epistemology and ontology - all we can know of matter is its extension in space. |