Combining Texts

All the ideas for 'Being and Nothingness', 'How to Russell a Frege-Church' and 'On the Introduction of Transfinite Numbers'

unexpand these ideas     |    start again     |     specify just one area for these texts


20 ideas

5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
For Russell, expressions dependent on contingent circumstances must be eliminated [Kaplan]
     Full Idea: It is a tenet of Russell's theory that all expressions, and especially definite descriptions, whose denotation is dependent upon contingent circumstances must be eliminated.
     From: David Kaplan (How to Russell a Frege-Church [1975], II)
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
     Full Idea: Von Neumann's decision was to start with the ordinals and to treat cardinals as a special sort of ordinal.
     From: report of John von Neumann (On the Introduction of Transfinite Numbers [1923]) by William D. Hart - The Evolution of Logic 3
     A reaction: [see Hart 73-74 for an explication of this]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
     Full Idea: In Von Neumann's definition an ordinal is a transitive set in which all of the elements are transitive.
     From: report of John von Neumann (On the Introduction of Transfinite Numbers [1923]) by Alain Badiou - Briefings on Existence 11
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
     Full Idea: For Von Neumann the successor of n is n U {n} (rather than Zermelo's successor, which is {n}).
     From: report of John von Neumann (On the Introduction of Transfinite Numbers [1923]) by Penelope Maddy - Naturalism in Mathematics I.2 n8
Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
     Full Idea: Von Neumann's version of the natural numbers is in fact preferred because it carries over directly to the transfinite ordinals.
     From: comment on John von Neumann (On the Introduction of Transfinite Numbers [1923]) by Penelope Maddy - Naturalism in Mathematics I.2 n9
Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
     Full Idea: Each Von Neumann ordinal number is the set of its predecessors. ...He had shown how to introduce ordinal numbers as sets, making it possible to use them without leaving the domain of sets.
     From: report of John von Neumann (On the Introduction of Transfinite Numbers [1923]) by Shaughan Lavine - Understanding the Infinite V.3
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
For Sartre there is only being for-itself, or being in-itself (which is beyond experience) [Sartre, by Daigle]
     Full Idea: The two most fundamental modes of being in Sartre's ontology are being in-itself, and being for-itself. ...The in-itself lies beyond our experience of it.
     From: report of Jean-Paul Sartre (Being and Nothingness [1943]) by Christine Daigle - Jean-Paul Sartre 2.2
     A reaction: This appears to be Kant's ding-an-sich, paired with Heidegger's Dasein. If those are the only options, then reality is either subjective or unknown, which seems to make Sartre an idealist, but he asserted that phenomena vindicate the in-itself.
10. Modality / E. Possible worlds / 3. Transworld Objects / d. Haecceitism
'Haecceitism' says that sameness or difference of individuals is independent of appearances [Kaplan]
     Full Idea: The doctrine that we can ask whether this is the same individual in another possible world, and that a common 'thisness' may underlie extreme dissimilarity, or distinct thisnesses may underlie great resemblance, I call 'Haecceitism'.
     From: David Kaplan (How to Russell a Frege-Church [1975], IV)
     A reaction: Penelope Mackie emphasises that this doctrine, that each thing is somehow individuated, is not the same as believing in actual haecceities, specific properties which achieve the individuating.
'Haecceitism' is common thisness under dissimilarity, or distinct thisnesses under resemblance [Kaplan]
     Full Idea: That a common 'thisness' may underlie extreme dissimilarity or distinct thisnesses may underlie great resemblance I call 'haecceitism'. (I prefer the pronunciation Hex'-ee-i-tis-m).
     From: David Kaplan (How to Russell a Frege-Church [1975], IV)
     A reaction: [odd pronunciation, if 'haec' is pronounced haeek] The view seems to be very unpopular (e.g. with Lewis, Bird and Mumford). But there is an intuitive sense of whether or not two things are identical when they seem dissimilar.
If quantification into modal contexts is legitimate, that seems to imply some form of haecceitism [Kaplan]
     Full Idea: If one regards the usual form of quantification into modal and other intensional contexts - modality de re - as legitimate (without special explanations), then one seems committed to some form of haecceitism.
     From: David Kaplan (How to Russell a Frege-Church [1975], IV)
     A reaction: That is, modal reference requires fixed identities, irrespective of possible changes in properties. Why could one not refer to objects just as bundles of properties, with some sort of rules about when it ceased to be that particular bundle (keep 60%?)?
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Appearances do not hide the essence; appearances are the essence [Sartre]
     Full Idea: We reject the dualism of appearance and essence. The appearance does not hide the essence, it reveals it; it is the essence.
     From: Jean-Paul Sartre (Being and Nothingness [1943], p.4-5), quoted by Kevin Aho - Existentialism: an introduction 2 'Phenomenology'
     A reaction: This idea, expressed in the language of Hegel and Husserl, strikes me as the same as the analytic phenomenalism of Mill and Ayer. Hence I take it to be wrong.
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
Sartre says consciousness is just directedness towards external objects [Sartre, by Rowlands]
     Full Idea: Sartre defends a view of consciousness as nothing but a directedness towards objects, insisting that these objects are transcendent with respect to that consciousness; hence Sartre is one of the first genuine externalists.
     From: report of Jean-Paul Sartre (Being and Nothingness [1943]) by Mark Rowlands - Externalism Ch.1
     A reaction: An ancestor here is, I think, Schopenhauer (Idea 4166). The idea is attractive, as we are brought up with idea that we have a thing called 'consciousness', but if you removed its contents there would literally be nothing left.
18. Thought / C. Content / 1. Content
Sartre rejects mental content, and the idea that the mind has hidden inner features [Sartre, by Rowlands]
     Full Idea: Sartre's attack on the idea that consciousness has contents is an attack on the idea that the mental possesses features that are hidden, inner and constituted or revealed by the individual's inwardly directed awareness.
     From: report of Jean-Paul Sartre (Being and Nothingness [1943]) by Mark Rowlands - Externalism Ch.5
     A reaction: This is part of the move towards 'externalism' about the mind. The notion of 'content' implies a container. It seems slightly ridiculous, though, to try to say that the mind just 'is the world'. How is reasoning possible, and the relation of ideas?
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Man is a useless passion [Sartre]
     Full Idea: Man is a useless passion.
     From: Jean-Paul Sartre (Being and Nothingness [1943], IV.2.III)
     A reaction: Memorable and neat. Since all of existence is ultimately 'useless', that part of it is not a revelation. The notion that we are essentially a 'passion' chimes nicely with David Hume's view, against the enlightenment rational view, and against Aristotle.
Man is the desire to be God [Sartre]
     Full Idea: Man fundamentally is the desire to be God.
     From: Jean-Paul Sartre (Being and Nothingness [1943], p.556?), quoted by Gordon Graham - Eight Theories of Ethics Ch.5
     A reaction: It is better to see man (as seen all the way through the European tradition) as caught between the self-images of being an angel and being a 'quintessence of dust' (Hamlet).
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
Sartre's freedom is not for whimsical action, but taking responsibility for our own values [Sartre, by Daigle]
     Full Idea: Readers often confuse Sartre's notion of freedom with the freedom of acting whimsically ....but since there is no God, we must create our own values. Freedom is not merely a licence to act whimsically.; it entails responsibility.
     From: report of Jean-Paul Sartre (Being and Nothingness [1943]) by Christine Daigle - Jean-Paul Sartre 2.3
     A reaction: The idea that we create our values comes from Nietzsche. Did Sartre want everyone to behave like an übermensch? How can you form a society from individuals who create private values, even if they (somehow) take responsibility for them?
22. Metaethics / B. Value / 2. Values / g. Love
Love is the demand to be loved [Sartre]
     Full Idea: Love is the demand to be loved.
     From: Jean-Paul Sartre (Being and Nothingness [1943], p.488), quoted by Christine Daigle - Jean-Paul Sartre 2.5
     A reaction: Is that all love is? Hard to imagine someone loving another person without hoping that the other person will reciprocate. You need high self-esteem to 'demand' it. Low self-esteem merely hopes for it. He says the other person may feel the same.
23. Ethics / F. Existentialism / 3. Angst
Fear concerns the world, but 'anguish' comes from confronting my self [Sartre]
     Full Idea: Anguish is distinguished from fear in that fear is fear of being in the world whereas anguish is anguish before myself.
     From: Jean-Paul Sartre (Being and Nothingness [1943], p.65), quoted by Kevin Aho - Existentialism: an introduction 5 'Radical'
     A reaction: I'm guessing that the anguish comes from the horror of the infinite choices available to me. Once you've made major life choices with full commitment (such as marriage), does that mean that existentialism becomes irrelevant?
23. Ethics / F. Existentialism / 6. Authentic Self
Sincerity is not authenticity, because it only commits to one particular identity [Sartre, by Aho]
     Full Idea: Being sincere [in Sartre] has nothing to do with authenticity because, in committing ourselves to a particular identity, we strip away the possibility of transcendence by reducing ourselves to a thing.
     From: report of Jean-Paul Sartre (Being and Nothingness [1943]) by Kevin Aho - Existentialism: an introduction 6 'Bad'
     A reaction: I take this to mean that sincerity says genuinely what role you are playing (such as a waiter), but authenticity is recognition that you don't have to play that role. I think.
We flee from the anguish of freedom by seeing ourselves objectively, as determined [Sartre]
     Full Idea: We are always ready to take refuge in a belief in determinism if this freedom weighs upon us or if we need an excuse. Thus we flee from anguish by attempting to apprehend ourselves from without as an Other or a thing.
     From: Jean-Paul Sartre (Being and Nothingness [1943], p.82), quoted by Christine Daigle - Jean-Paul Sartre 2.4
     A reaction: I would have thought we blame social pressures, or biological pressures, rather than metaphysical determinism, but it amounts to the same thing. If we are not free then probably nothing else is.