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All the ideas for 'Mahaprajnaparamitashastra', 'Briefings on Existence' and 'The Philosophy of Logical Atomism'

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57 ideas

1. Philosophy / C. History of Philosophy / 5. Modern Philosophy / c. Modern philosophy mid-period
In ontology, logic dominated language, until logic was mathematized [Badiou]
     Full Idea: From Aristotle to Hegel, logic was the philosophical category of ontology's dominion over language. The mathematization of logic has authorized language to become that which seizes philosophy for itself.
     From: Alain Badiou (Briefings on Existence [1998], 8)
1. Philosophy / D. Nature of Philosophy / 8. Humour
The female body, when taken in its entirety, is the Phallus itself [Badiou]
     Full Idea: The female body, when taken in its entirety, is the Phallus itself.
     From: Alain Badiou (Briefings on Existence [1998])
     A reaction: Too good to pass over, too crazy to file sensibly, too creepy to have been filed under humour, my candidate for the weirdest remark I have ever read in a serious philosopher, but no doubt if you read Lacan etc for long enough it looks deeply wise.
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
The business of metaphysics is to describe the world [Russell]
     Full Idea: It seems to me that the business of metaphysics is to describe the world.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §III)
     A reaction: At least he believed in metaphysics. Presumably he intends to describe the world in terms of its categories, rather than cataloguing every blade of grass.
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
Philosophy has been relieved of physics, cosmology, politics, and now must give up ontology [Badiou]
     Full Idea: Philosophy has been released from, even relieved of, physics, cosmology, and politics, as well as many other things. It is important for it to be released from ontology per se.
     From: Alain Badiou (Briefings on Existence [1998], 3)
     A reaction: A startling proposal, for anyone who thought that ontology was First Philosophy. Badiou wants to hand ontology over to mathematicians, but I am unclear what remains for the philosophers to do.
2. Reason / A. Nature of Reason / 4. Aims of Reason
Consensus is the enemy of thought [Badiou]
     Full Idea: Consensus is the enemy of thought.
     From: Alain Badiou (Briefings on Existence [1998], 2)
     A reaction: A nice slogan for bringing Enlightenment optimists to a halt. I am struck. Do I allow my own thinking to always be diverted towards something which might result in a consensus? Do I actually (horror!) prefer consensus to truth?
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Reducing entities and premisses makes error less likely [Russell]
     Full Idea: You diminish the risk of error with every diminution of entities and premisses.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §VIII)
     A reaction: If there are actually lots of entities, you would increase error if you reduced them too much. Ockham's Razor seems more to do with the limited capacity of the human mind than with the simplicity or complexity of reality. See Idea 4456.
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
Facts make propositions true or false, and are expressed by whole sentences [Russell]
     Full Idea: A fact is the kind of thing that makes a proposition true or false, …and it is the sort of thing that is expressed by a whole sentence, not by a single name like 'Socrates'.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §I)
     A reaction: It is important to note a point here which I consider vital - that Russell keeps the idea of a fact quite distinct from the language in which it is expressed. Facts are a 'sort of thing', of the kind which are now referred to as 'truth-makers'.
3. Truth / B. Truthmakers / 8. Making General Truths
Not only atomic truths, but also general and negative truths, have truth-makers [Russell, by Rami]
     Full Idea: In 1918 Russell held that beside atomic truths, also general and negative truths have truth-makers.
     From: report of Bertrand Russell (The Philosophy of Logical Atomism [1918]) by Adolph Rami - Introduction: Truth and Truth-Making note 04
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
There is 'transivity' iff membership ∈ also means inclusion ⊆ [Badiou]
     Full Idea: 'Transitivity' signifies that all of the elements of the set are also parts of the set. If you have α∈Β, you also have α⊆Β. This correlation of membership and inclusion gives a stability which is the sets' natural being.
     From: Alain Badiou (Briefings on Existence [1998], 11)
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
Normally a class with only one member is a problem, because the class and the member are identical [Russell]
     Full Idea: With the ordinary view of classes you would say that a class that has only one member was the same as that one member; that will land you in terrible difficulties, because in that case that one member is a member of that class, namely, itself.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §VII)
     A reaction: The problem (I think) is that classes (sets) were defined by Frege as being identical with their members (their extension). With hindsight this may have been a mistake. The question is always 'why is that particular a member of that set?'
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The axiom of choice must accept an indeterminate, indefinable, unconstructible set [Badiou]
     Full Idea: The axiom of choice actually amounts to admitting an absolutely indeterminate infinite set whose existence is asserted albeit remaining linguistically indefinable. On the other hand, as a process, it is unconstructible.
     From: Alain Badiou (Briefings on Existence [1998], 2)
     A reaction: If only constructible sets are admitted (see 'V = L') then there is a contradiction.
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Topos theory explains the plurality of possible logics [Badiou]
     Full Idea: Topos theory explains the plurality of possible logics.
     From: Alain Badiou (Briefings on Existence [1998], 14)
     A reaction: This will because logic will have a distinct theory within each 'topos'.
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Logic is a mathematical account of a universe of relations [Badiou]
     Full Idea: Logic should first and foremost be a mathematical thought of what a universe of relations is.
     From: Alain Badiou (Briefings on Existence [1998], 14)
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
In a logically perfect language, there will be just one word for every simple object [Russell]
     Full Idea: In a logically perfect language, there will be one word and no more for every simple object.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §II)
     A reaction: In other words, there would be no universals, only names? All that matters is that a language can successfully refer (unambiguously) to anything it wishes to. There must be better ways than Russell's lexical explosion.
Romulus does not occur in the proposition 'Romulus did not exist' [Russell]
     Full Idea: Romulus does not occur in the proposition 'Romulus did not exist'.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §VI)
     A reaction: A very nice paradoxical assertion, which captures the problem of finding the logical form for negative existential statements. Presumably the proposition refers to the mythical founder of Rome, though. He is not, I suppose, rigidly designated.
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
You can understand 'author of Waverley', but to understand 'Scott' you must know who it applies to [Russell]
     Full Idea: If you understand English you would understand the phrase 'the author of Waverley' if you had not heard it before, whereas you would not understand the meaning of 'Scott', because to know the meaning of a name is to know who it is applied to.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §VI)
     A reaction: Actually, you would find 'Waverley' a bit baffling too. Would you understand "he was the author of his own destruction"? You can understand "Homer was the author of this" without knowing quite who 'Homer' applies to. All very tricky.
There are a set of criteria for pinning down a logically proper name [Russell, by Sainsbury]
     Full Idea: A logically proper name must be semantically simple, have just one referent, be understood by the user, be scopeless, is not a definite description, and rigidly designates.
     From: report of Bertrand Russell (The Philosophy of Logical Atomism [1918], 24th pg) by Mark Sainsbury - The Essence of Reference Intro
     A reaction: Famously, Russell's hopes of achieving this logically desirable end got narrower and narrower, and ended with 'this' or 'that'. Maybe pure language can't do the job.
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
Treat description using quantifiers, and treat proper names as descriptions [Russell, by McCullogh]
     Full Idea: Having proposed that descriptions should be treated in quantificational terms, Russell then went on to introduce the subsidiary injunction that proper names should be treated as descriptions.
     From: report of Bertrand Russell (The Philosophy of Logical Atomism [1918]) by Gregory McCullogh - The Game of the Name 2.18
     A reaction: McCulloch says Russell 'has a lot to answer for' here. It became a hot topic with Kripke. Personally I find Lewis's notion of counterparts the most promising line of enquiry.
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
A name has got to name something or it is not a name [Russell]
     Full Idea: A name has got to name something or it is not a name.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], 66th pg), quoted by Mark Sainsbury - The Essence of Reference 18.2
     A reaction: This seems to be stipulative, since most people would say that a list of potential names for a baby counted as names. It may be wrong. There are fictional names, or mistakes.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Numbers are for measuring and for calculating (and the two must be consistent) [Badiou]
     Full Idea: Number is an instance of measuring (distinguishing the more from the less, and calibrating data), ..and a figure for calculating (one counts with numbers), ..and it ought to be a figure of consistency (the compatibility of order and calculation).
     From: Alain Badiou (Briefings on Existence [1998], 11)
There is no single unified definition of number [Badiou]
     Full Idea: Apparently - and this is quite unlike old Greek times - there is no single unified definition of number.
     From: Alain Badiou (Briefings on Existence [1998], 11)
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Each type of number has its own characteristic procedure of introduction [Badiou]
     Full Idea: There is a heterogeneity of introductory procedures of different classical number types: axiomatic for natural numbers, structural for ordinals, algebraic for negative and rational numbers, topological for reals, mainly geometric for complex numbers.
     From: Alain Badiou (Briefings on Existence [1998], 11)
Must we accept numbers as existing when they no longer consist of units? [Badiou]
     Full Idea: Do we have to confer existence on numbers whose principle is to no longer consist of units?
     From: Alain Badiou (Briefings on Existence [1998], 2)
     A reaction: This very nicely expresses what seems to me perhaps the most important question in the philosophy of mathematics. I am reluctant to accept such 'unitless' numbers, but I then feel hopelessly old-fashioned and naďve. What to do?
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The undecidability of the Continuum Hypothesis may have ruined or fragmented set theory [Badiou]
     Full Idea: As we have known since Paul Cohen's theorem, the Continuum Hypothesis is intrinsically undecidable. Many believe Cohen's discovery has driven the set-theoretic project into ruin, or 'pluralized' what was once presented as a unified construct.
     From: Alain Badiou (Briefings on Existence [1998], 6)
     A reaction: Badiou thinks the theorem completes set theory, by (roughly) finalising its map.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
If mathematics is a logic of the possible, then questions of existence are not intrinsic to it [Badiou]
     Full Idea: If mathematics is a logic of the possible, then questions of existence are not intrinsic to it (as they are for the Platonist).
     From: Alain Badiou (Briefings on Existence [1998], 7)
     A reaction: See also Idea 12328. I file this to connect it with Hellman's modal (and nominalist) version of structuralism. Could it be that mathematics and modal logic are identical?
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Platonists like axioms and decisions, Aristotelians like definitions, possibilities and logic [Badiou]
     Full Idea: A Platonist's interest focuses on axioms in which the decision of thought is played out, where an Aristotelian or Leibnizian interest focuses on definitions laying out the representation of possibilities (...and the essence of mathematics is logic).
     From: Alain Badiou (Briefings on Existence [1998], 7)
     A reaction: See Idea 12323 for the significance of the Platonist approach. So logicism is an Aristotelian project? Frege is not a true platonist? I like the notion of 'the representation of possibilities', so will vote for the Aristotelians, against Badiou.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logic is definitional, but real mathematics is axiomatic [Badiou]
     Full Idea: Logic is definitional, whereas real mathematics is axiomatic.
     From: Alain Badiou (Briefings on Existence [1998], 10)
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Numbers are classes of classes, and hence fictions of fictions [Russell]
     Full Idea: Numbers are classes of classes, and classes are logical fictions, so that numbers are, as it were, fictions at two removes, fictions of fictions.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §VIII)
     A reaction: This summarises the findings of Russell and Whitehead's researches into logicism. Gödel may have proved that project impossible, but there is now debate about that. Personally I think of numbers as names of patterns.
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
There is no Being as a whole, because there is no set of all sets [Badiou]
     Full Idea: The fundamental theorem that 'there does not exist a set of all sets' designates the inexistence of Being as a whole. ...A crucial consequence of this property is that any ontological investigation is irremediably local.
     From: Alain Badiou (Briefings on Existence [1998], 14)
     A reaction: The second thought pushes Badiou into Topos Theory, where the real numbers (for example) have a separate theory in each 'topos'.
7. Existence / A. Nature of Existence / 3. Being / b. Being and existence
Existence is Being itself, but only as our thought decides it [Badiou]
     Full Idea: Existence is precisely Being itself in as much as thought decides it. And that decision orients thought essentially. ...It is when you decide upon what exists that you bind your thought to Being.
     From: Alain Badiou (Briefings on Existence [1998], 2)
     A reaction: [2nd half p.57] Helpful for us non-Heideggerians to see what is going on. Does this mean that Being is Kant's noumenon?
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
The modern view of Being comes when we reject numbers as merely successions of One [Badiou]
     Full Idea: The saturation and collapse of the Euclidean idea of the being of number as One's procession signs the entry of the thought of Being into modern times.
     From: Alain Badiou (Briefings on Existence [1998], 11)
     A reaction: That is, by allowing that not all numbers are built of units, numbers expand widely enough to embrace everything we think of as Being. The landmark event is the acceptance of the infinite as a number.
The primitive name of Being is the empty set; in a sense, only the empty set 'is' [Badiou]
     Full Idea: In Set Theory, the primitive name of Being is the void, the empty set. The whole hierarchy takes root in it. In a certain sense, it alone 'is'.
     From: Alain Badiou (Briefings on Existence [1998], 6)
     A reaction: This is the key to Badiou's view that ontology is mathematics. David Lewis pursued interesting enquiries in this area.
7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms
Russell's new logical atomist was of particulars, universals and facts (not platonic propositions) [Russell, by Linsky,B]
     Full Idea: Russell's new logical atomist ontology was of particulars, universals and facts, replacing the ontology of 'platonic atomism' consisting just of propositions.
     From: report of Bertrand Russell (The Philosophy of Logical Atomism [1918]) by Bernard Linsky - Russell's Metaphysical Logic 1
     A reaction: Linsky cites Peter Hylton as saying that the earlier view was never replaced. The earlier view required propositions to be 'unified'. I surmise that the formula 'Fa' combines a universal and a particular, to form an atomic fact. [...but Idea 6111!]
Russell's atomic facts are actually compounds, and his true logical atoms are sense data [Russell, by Quine]
     Full Idea: In 1918 Russell does not admit facts as fundamental; atomic facts are atomic as facts go, but they are compound objects. The atoms of Russell's logical atomism are not atomic facts but sense data.
     From: report of Bertrand Russell (The Philosophy of Logical Atomism [1918]) by Willard Quine - Russell's Ontological Development p.83
     A reaction: By about 1921 Russell had totally given up sense-data, because he had been reading behaviourist psychology.
Logical atomism aims at logical atoms as the last residue of analysis [Russell]
     Full Idea: I call my doctrine logical atomism because, as the last residue of analysis, I wish to arrive at logical atoms and not physical atoms; some of them will be particulars, and others will be predicates and relations and so on.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §I)
     A reaction: However we judge it, logical atomism is a vital landmark in the history of 'analytical' philosophy, because it lays out the ideal for our assessment. It is fashionable to denigrate analysis, but I think it is simply the nearest to wisdom we will ever get.
Once you have enumerated all the atomic facts, there is a further fact that those are all the facts [Russell]
     Full Idea: When you have enumerated all the atomic facts in the world, it is a further fact about the world that those are all the atomic facts there are about the world.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §V)
     A reaction: There is obviously a potential regress of facts about facts here. This looks like one of the reasons why the original logical atomism had a short shelf-life. Personally I see this as an argument in favour of rationalism, in the way Bonjour argues for it.
Logical atoms aims to get down to ultimate simples, with their own unique reality [Russell]
     Full Idea: Logical atomism is the view that you can get down in theory, if not in practice, to ultimate simples, out of which the world is built, and that those simples have a kind of reality not belonging to anything else.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §VIII)
     A reaction: This dream is to empiricists what the Absolute is to rationalists - a bit silly, but an embodiment of the motivating dream.
7. Existence / D. Theories of Reality / 1. Ontologies
Ontology is (and always has been) Cantorian mathematics [Badiou]
     Full Idea: Enlightened by the Cantorian grounding of mathematics, we can assert ontology to be nothing other than mathematics itself. This has been the case ever since its Greek origin.
     From: Alain Badiou (Briefings on Existence [1998], 1)
     A reaction: There seems to be quite a strong feeling among mathematicians that new 'realms of being' are emerging from their researches. Only a Platonist, of course, is likely to find this idea sympathetic.
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
You can't name all the facts, so they are not real, but are what propositions assert [Russell]
     Full Idea: Facts are the sort of things that are asserted or denied by propositions, and are not properly entities at all in the same sense in which their constituents are. That is shown by the fact that you cannot name them.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], p.235), quoted by Bernard Linsky - Russell's Metaphysical Logic 2.2
     A reaction: [ref to Papers vol.8] It is customary to specify a proposition by its capacity for T and F. So is a fact just 'a truth'? This contains the Fregean idea that things are only real if they can be picked out. I think of facts as independent of minds.
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
Russell asserts atomic, existential, negative and general facts [Russell, by Armstrong]
     Full Idea: Russell argues for atomic facts, and also for existential facts, negative facts and general facts.
     From: report of Bertrand Russell (The Philosophy of Logical Atomism [1918]) by David M. Armstrong - Truth and Truthmakers 05.1
     A reaction: Armstrong says he overdoes it. I would even add disjunctive facts, which Russell rejects. 'Rain or snow will ruin the cricket match'. Rain can make that true, but it is a disjunctive fact about the match.
7. Existence / D. Theories of Reality / 9. States of Affairs
Modern trope theory tries, like logical atomism, to reduce things to elementary states [Russell, by Ellis]
     Full Idea: Russell and Wittgenstein sought to reduce everything to singular facts or states of affairs, and Armstrong and Keith Campbell have more recently advocated ontologies of tropes or elementary states of affairs.
     From: report of Bertrand Russell (The Philosophy of Logical Atomism [1918]) by Brian Ellis - The Philosophy of Nature: new essentialism Ch.3 n 11
     A reaction: A very interesting historical link. Logical atomism strikes me as a key landmark in the history of philosophy, and not an eccentric cul-de-sac. It is always worth trying to get your ontology down to minimal small units, to see what happens.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
'Existence' means that a propositional function is sometimes true [Russell]
     Full Idea: When you take any propositional function and assert of it that it is possible, that it is sometimes true, that gives you the fundamental meaning of 'existence'.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918]), quoted by Colin McGinn - Logical Properties Ch.2
     A reaction: Functions depend on variables, so this leads to Quine's slogan "to be is to be the value of a variable". Assertions of non-existence are an obvious problem, but Russell thought of all that. All of this makes existence too dependent on language.
10. Modality / A. Necessity / 2. Nature of Necessity
Modal terms are properties of propositional functions, not of propositions [Russell]
     Full Idea: Traditional philosophy discusses 'necessary', 'possible' and 'impossible' as properties of propositions, whereas in fact they are properties of propositional functions; propositions are only true or false.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §V)
     A reaction: I am unclear how a truth could be known to be necessary if it is full of variables. 'x is human' seems to have no modality, but 'Socrates is human' could well be necessary. I like McGinn's rather adverbial account of modality.
12. Knowledge Sources / B. Perception / 5. Interpretation
Perception goes straight to the fact, and not through the proposition [Russell]
     Full Idea: I am inclined to think that perception, as opposed to belief, does go straight to the fact and not through the proposition.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §IV.4)
     A reaction: There seems to be a question of an intermediate stage, which is the formulation of concepts. Is full 'perception' (backed by attention and intellect) laden with concepts, which point to facts? Where are the facts in sensation without recognition?
18. Thought / A. Modes of Thought / 6. Judgement / b. Error
The theory of error seems to need the existence of the non-existent [Russell]
     Full Idea: It is very difficult to deal with the theory of error without assuming the existence of the non-existent.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §IV.3)
     A reaction: This problem really bothered Russell (and Plato). I suspect that it was a self-inflicted problem because at this point Russell had ceased to believe in propositions. If we accept propositions as intentional objects, they can be as silly as you like.
19. Language / C. Assigning Meanings / 3. Predicates
Russell uses 'propositional function' to refer to both predicates and to attributes [Quine on Russell]
     Full Idea: Russell used the phrase 'propositional function' (adapted from Frege) to refer sometimes to predicates and sometimes to attributes.
     From: comment on Bertrand Russell (The Philosophy of Logical Atomism [1918]) by Willard Quine - Philosophy of Logic Ch.5
     A reaction: He calls Russell 'confused' on this, and he would indeed be guilty of what now looks like a classic confusion, between the properties and the predicates that express them. Only a verificationist would hold such a daft view.
19. Language / D. Propositions / 1. Propositions
Propositions don't name facts, because each fact corresponds to a proposition and its negation [Russell]
     Full Idea: It is obvious that a proposition is not the name for a fact, from the mere circumstance that there are two propositions corresponding to each fact, one the negation of the other.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §I)
     A reaction: Russell attributes this point to Wittgenstein. Evidently you must add that the proposition is true before it will name a fact - which is bad news for the redundancy view of truth. Couldn't lots of propositions correspond to one fact?
19. Language / D. Propositions / 3. Concrete Propositions
In 1918 still believes in nonlinguistic analogues of sentences, but he now calls them 'facts' [Russell, by Quine]
     Full Idea: In 1918 Russell insists that the world does contain nonlinguistic things that are akin to sentences and are asserted by them; he merely does not call them propositions. He calls them facts.
     From: report of Bertrand Russell (The Philosophy of Logical Atomism [1918]) by Willard Quine - Russell's Ontological Development p.81
     A reaction: Clarification! I have always been bewildered by the early Russell view of propositions as actual ingredients of the world. If we say that sentences assert facts, that makes more sense. Russell never believed in the mental entities I call 'propositions'.
19. Language / D. Propositions / 6. Propositions Critique
An inventory of the world does not need to include propositions [Russell]
     Full Idea: It is quite clear that propositions are not what you might call 'real'; if you were making an inventory of the world, propositions would not come in.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §III)
     A reaction: I am not clear why this is "quite clear". Propositions might even turn up in our ontology as physical objects (brain states). He says beliefs are real, but if you can't have a belief without a proposition, and they aren't real, you are in trouble.
I no longer believe in propositions, especially concerning falsehoods [Russell]
     Full Idea: Time was when I thought there were propositions, but it does not seem to me very plausible to say that in addition to facts there are also these curious shadowy things going about as 'That today is Wednesday' when in fact it is Tuesday.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §IV.2)
     A reaction: You need to give some account of someone who thinks 'Today is Wednesday' when it is Tuesday. We can hardly avoid talking about something like an 'intentional object', which can be expressed in a sentence. Are there not possible (formulable) propositions?
I know longer believe in shadowy things like 'that today is Wednesday' when it is actually Tuesday [Russell]
     Full Idea: Time was when I thought there were propositions, but it does not seem to me very plausible to say that in addition to facts there are also these curious shadowy things going about such 'That today is Wednesday' when it is in fact Tuesday.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], p.197), quoted by Bernard Linsky - Russell's Metaphysical Logic 3.1
     A reaction: [Ref to Papers v8] I take Russell to have abandoned his propositions because his conception of them was mistaken. Presumably my thinking 'Today is Wednesay' conjures up a false proposition, which had not previously existed.
19. Language / F. Communication / 3. Denial
We must either assert or deny any single predicate of any single subject [Badiou]
     Full Idea: There can be nothing intermediate to an assertion and a denial. We must either assert or deny any single predicate of any single subject.
     From: Alain Badiou (Briefings on Existence [1998], 1011b24)
     A reaction: The first sentence seems to be bivalence, and the second sentence excluded middle.
19. Language / F. Communication / 4. Private Language
The names in a logically perfect language would be private, and could not be shared [Russell]
     Full Idea: A logically perfect language, if it could be constructed, would be, as regards its vocabulary, very largely private to one speaker; that is, all the names in it would be private to that speaker and could not enter into the language of another speaker.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §II)
     A reaction: Wittgenstein obviously thought there was something not quite right about this… See Idea 4147, for example. I presume Russell's thought is that you would have no means of explaining the 'meanings' of the names in the language.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
25. Social Practice / E. Policies / 2. Religion in Society
For Enlightenment philosophers, God was no longer involved in politics [Badiou]
     Full Idea: For the philosophers of the Enlightenment politics is strictly the affair of humankind, an immanent practice from which recourse to the All Mighty's providential organization had to be discarded.
     From: Alain Badiou (Briefings on Existence [1998], Prol)
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
You can discuss 'God exists', so 'God' is a description, not a name [Russell]
     Full Idea: The fact that you can discuss the proposition 'God exists' is a proof that 'God', as used in that proposition, is a description and not a name. If 'God' were a name, no question as to its existence could arise.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §VI)
     A reaction: Presumably 'a being than which none greater can be conceived' (Anselm's definition) is self-evidently a description, and doesn't claim to be a name. Aquinas caps each argument with a triumphant naming of the being he has proved.
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
The God of religion results from an encounter, not from a proof [Badiou]
     Full Idea: The God of metaphysics makes sense of existing according to a proof, while the God of religion makes sense of living according to an encounter
     From: Alain Badiou (Briefings on Existence [1998], Prol)