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All the ideas for 'Confessions', 'Nominalism and Substitutional Quantifiers' and 'Prologue to Ordinatio'

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37 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
The nominalist is tied by standard semantics to first-order, denying higher-order abstracta [Marcus (Barcan)]
     Full Idea: The nominalist finds that standard semantics shackles him to first-order languages if, as nominalists are wont, he is to make do without abstract higher order objects.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.166)
     A reaction: Aha! Since I am pursuing a generally nominalist strategy in metaphysics, I suddenly see that I must adopt a hostile attitude to higher-order logic! Maybe plural quantification is the way to go, with just first-order objects.
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
Anything which refers tends to be called a 'name', even if it isn't a noun [Marcus (Barcan)]
     Full Idea: The tendency has been to call any expression a 'name', however distant from the grammatical category of nouns, provided it is seen as referring.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.162)
Nominalists see proper names as a main vehicle of reference [Marcus (Barcan)]
     Full Idea: For a nominalist with an ontology of empirically distinguishable objects, proper names are seen as a primary vehicle of reference.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.162)
5. Theory of Logic / G. Quantification / 1. Quantification
Nominalists should quantify existentially at first-order, and substitutionally when higher [Marcus (Barcan)]
     Full Idea: For the nominalist, at level zero, where substituends are referring names, the quantifiers may be read existentially. Beyond level zero, the variables and quantifiers are read sustitutionally (though it is unclear whether this program is feasible).
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.167)
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Quantifiers are needed to refer to infinitely many objects [Marcus (Barcan)]
     Full Idea: An adequate language for referring to infinitely many objects would seem to require variables and quantifiers in addition to names.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.164)
Substitutional semantics has no domain of objects, but place-markers for substitutions [Marcus (Barcan)]
     Full Idea: On a substitutional semantics of a first-order language, a domain of objects is not specified. Variables do not range over objects. They are place markers for substituends (..and sentences are true-for-all-names, or true-for-at-least-one-name).
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.165)
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Maybe a substitutional semantics for quantification lends itself to nominalism [Marcus (Barcan)]
     Full Idea: It has been suggested that a substitutional semantics for quantification theory lends itself to nominalistic aims.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.161)
Substitutional language has no ontology, and is just a way of speaking [Marcus (Barcan)]
     Full Idea: Translation into a substitutional language does not force the ontology. It remains, literally, and until the case for reference can be made, a façon de parler. That is the way the nominalist would like to keep it.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.166)
A true universal sentence might be substitutionally refuted, by an unnamed denumerable object [Marcus (Barcan)]
     Full Idea: Critics say if there are nondenumerably many objects, then on the substitutional view there might be true universal sentences falsified by an unnamed object, and there must always be some such, for names are denumerable.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.167)
     A reaction: [See Quine 'Reply to Prof. Marcus' p.183] The problem seems to be that there would be names which are theoretically denumerable, but not nameable, and hence not available for substitution. Marcus rejects this, citing compactness.
7. Existence / A. Nature of Existence / 2. Types of Existence
I prefer a lack of form to mean non-existence, than to think of some quasi-existence [Augustine]
     Full Idea: I sooner judged that what lacks all form does not exist, than thought of as something in between form and nothing, neither formed nor nothing, unformed and next to nothing.
     From: Augustine (Confessions [c.398], XII.6), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 03.1
     A reaction: Scholastics were struck by the contrast between this remark, and the remark of Averroes (Idea 16587) that prime matter was halfway existence. Their two great authorities disagreed! This sort of thing stimulated the revival of metaphysics.
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
Is being just referent of the verb 'to be'? [Marcus (Barcan)]
     Full Idea: Being itself has been viewed as referent of the verb 'to be'.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.162)
7. Existence / D. Theories of Reality / 1. Ontologies
Three main questions seem to be whether a thing is, what it is, and what sort it is [Augustine]
     Full Idea: I am told that I can ask three sorts of questions - whether a thing is, what it is, and what sort it is.
     From: Augustine (Confessions [c.398], X.10)
     A reaction: This seems to be a very Aristotelian approach. I am pleased to see that what it is and what sort it is are not conflated. The first one must be its individual essence, and the second its generic essence.
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
Nominalists say predication is relations between individuals, or deny that it refers [Marcus (Barcan)]
     Full Idea: Nominalists have the major task of explaining how predicates work. They usually construct it as a relation between individuals, or deny the referential function of predicates.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.163)
9. Objects / A. Existence of Objects / 3. Objects in Thought
If objects are thoughts, aren't we back to psychologism? [Marcus (Barcan)]
     Full Idea: If objects are thoughts, aren't we back to psychologism?
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.166)
     A reaction: Personally I don't think that would be the end of the world, but Fregeans go into paroxyms at the mention of 'psychology', because they fear that it destroys objectivity. That may be because they haven't understood thought properly.
9. Objects / F. Identity among Objects / 2. Defining Identity
Substitutivity won't fix identity, because expressions may be substitutable, but not refer at all [Marcus (Barcan)]
     Full Idea: Substitutivity 'salve veritate' cannot define identity since two expressions may be everywhere intersubstitutable and not refer at all.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.167)
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Our intellect only assents to what we believe to be true [William of Ockham]
     Full Idea: Our intellect does not assent to anything unless we believe it to be true.
     From: William of Ockham (Prologue to Ordinatio [1320], Q 1 N sqq)
     A reaction: This strikes me as being a much more accurate and commonsense view of belief than that of Hume, who simply views it phenomenologically. ...But then the remark appears to be circular. Belief requires a belief that it is true. Hm.
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
Mind and memory are the same, as shown in 'bear it in mind' or 'it slipped from mind' [Augustine]
     Full Idea: The mind and the memory are one and the same. We even call the memory the mind, for when we tell a person to remember something, we tell them to 'bear this in mind', and when we forget something 'it slipped out of my mind'.
     From: Augustine (Confessions [c.398], X.14)
     A reaction: This idea has become familiar in modern neuroscience, I think, presumably because we do not find distinct types of neurons for consciousness and for memory.
Memory contains innumerable principles of maths, as well as past sense experiences [Augustine]
     Full Idea: The memory contains the innumerable principles and laws of numbers and dimensions. None of these can have been conveyed to me by the bodily senses.
     From: Augustine (Confessions [c.398], X.12)
     A reaction: Even if you have a fairly empirical view of the sources of mathematics (a view with which I sympathise), it must by admitted that our endless extrapolations from the sources also reside in memory. So we remember thoughts as well as experiences.
We would avoid remembering sorrow or fear if that triggered the emotions afresh [Augustine]
     Full Idea: If we had to experience sorrow or fear every time that we mentioned these emotions, no one would be willing to speak of them.
     From: Augustine (Confessions [c.398], X.14)
     A reaction: Remembering the death of a loved one can trigger fresh grief, but remembering their dangerous illness from which they recovered no longer contains the feeling of fear.
I can distinguish different smells even when I am not experiencing them [Augustine]
     Full Idea: I can distinguish the scent of lilies from that of violets, even though there is no scent at all in my nostrils.
     From: Augustine (Confessions [c.398], X.08)
     A reaction: Augustine has a nice introspective account of how we experience memory, and identifies lots of puzzling features. I know I can identify the smell of vinegar, but I can't bring it to mind, the way I can the appearance of roses.
Why does joy in my mind make me happy, but joy in my memory doesn't? [Augustine]
     Full Idea: How can it be that my mind can be happy because of the joy that is in it, and yet my memory is not sad by reason of the sadness that is in it?
     From: Augustine (Confessions [c.398], X.14)
     A reaction: This seems to contradict his thought in Idea 22981, that memory and mind are the same. Recall seems to be a part of consciousness which is not fully wired up to the rest of the mind.
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
Memory is so vast that I cannot recognise it as part of my mind [Augustine]
     Full Idea: The memory is a vast immeasurable sanctuary. It is part of my nature, but I cannot understand all that I am. Hence the mind is too narrow to contain itself entirely. Is the other part outside of itself, and not within it? How then can it be a part?
     From: Augustine (Confessions [c.398], X.08)
     A reaction: He seems to understand the mind as entirely consisting of consciousness. Nevertheless, this seems to be the first inklings of the modern externalist view of the mind.
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Abstractive cognition knows universals abstracted from many singulars [William of Ockham]
     Full Idea: Abstractive cognition (in one sense) relates to something abstracted from many singulars; and in this sense abstractive cognition is nothing else but cognition of a universal which can be abstracted from many things.
     From: William of Ockham (Prologue to Ordinatio [1320], Q 1 N sqq)
     A reaction: This strikes me as being correct common sense, even though it has become deeply unfashionable since Frege. We may not be able to see quite how the mind manages to see universals in a bunch of objects, but there is no better story.
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
Without memory I could not even speak of myself [Augustine]
     Full Idea: I do not understand the power of memory that is in myself, although without it I could not even speak of myself.
     From: Augustine (Confessions [c.398], X.16)
     A reaction: Even if the self is not identical with memory, this idea seems to establish that memory is an essential aspect of the self. This point is neglected by those who see the self as an entity (the 'soul pearl') which persists through all experience.
16. Persons / F. Free Will / 6. Determinism / a. Determinism
If the future does not exist, how can prophets see it? [Augustine]
     Full Idea: How do prophets see the future, if there is not a future to be seen?
     From: Augustine (Confessions [c.398], XI.17)
     A reaction: The answer, I suspect, is that prophets can't see the future. The prospect that the future already exists would seem to saboutage human freedom and responsibility, and point to Calvinist predestination, and even fatalism.
18. Thought / B. Mechanics of Thought / 5. Mental Files
Memories are preserved separately, according to category [Augustine]
     Full Idea: In memory everything is preserved separately, according to its category.
     From: Augustine (Confessions [c.398], X.08)
     A reaction: This strikes me as the first seeds of the idea that the mind functions by means of mental files. Our memories of cats are 'close to' or 'linked to' our memories of dogs.
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
Everyone wants happiness [Augustine]
     Full Idea: Surely happiness is what everyone wants, so much so that there can be none who do not want it?
     From: Augustine (Confessions [c.398], X.20)
     A reaction: His concept of happiness is, of course, religious. Occasionally you meet habitual grumblers about life who give the impression that they are only happy when they are discontented. So happiness is achieving desires, not feeling good?
27. Natural Reality / D. Time / 1. Nature of Time / c. Idealist time
Maybe time is an extension of the mind [Augustine]
     Full Idea: I begin to wonder whether time is an extension of the mind itself.
     From: Augustine (Confessions [c.398], XI.26)
     A reaction: The observation that the mind creates a 'specious present' (spreading experience out over a short fraction of second) reinforces this. Personally I like David Marshall's proposal that consciousness is entirely memory, which would deny this idea.
To be aware of time it can only exist in the mind, as memory or anticipation [Augustine, by Bardon]
     Full Idea: Augustine answers that for us to be aware of time it must exist only in the mind, …and the difference between past and future is just the difference between memory and anticipation.
     From: report of Augustine (Confessions [c.398]) by Adrian Bardon - Brief History of the Philosophy of Time 1 'Augustine's'
     A reaction: This is an extreme idealist view. Are we to say that the past consists only of what can be remembered, and the future only of what is anticipated? Absurd anti-realism, in my view. Where do his concepts come from, asks Le Poidevin.
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
How can ten days ahead be a short time, if it doesn't exist? [Augustine]
     Full Idea: A short time ago or a short time ahead we might put at ten days, but how can anything which does not exist be either long or short?
     From: Augustine (Confessions [c.398], XI.15)
     A reaction: A nice question, which gets at the paradoxical nature of time very nicely. How can it be long, but non-existent? We could break the paradox by concluding '..and therefore time does exist', even though we can't see how.
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
If the past is no longer, and the future is not yet, how can they exist? [Augustine]
     Full Idea: Of the three divisions of time, how can two, the past and the future, be, when the past no longer is, and the future is not yet?
     From: Augustine (Confessions [c.398], XI.14)
     A reaction: This is the oldest bewilderment about time, which naturally leads us to the thought that time cannot actually 'exist'. The remark implies that at least 'now' is safe, but that also succumbs to paradox pretty quickly.
27. Natural Reality / D. Time / 1. Nature of Time / i. Denying time
The whole of the current year is not present, so how can it exist? [Augustine]
     Full Idea: We cannot say that the whole of the current year is present, and if the whole of it is not present, the year is not present.
     From: Augustine (Confessions [c.398], XI.15)
     A reaction: Another nice way of presenting the paradox of time. We are in a particular year, so it has to be real.
27. Natural Reality / D. Time / 2. Passage of Time / a. Experience of time
I know what time is, until someone asks me to explain it [Augustine]
     Full Idea: I know well enough what time is, provided that nobody asks me; but if I am asked what it is and try to explain, I am baffled.
     From: Augustine (Confessions [c.398], XI.14)
     A reaction: A justly famous remark, even though it adds nothing to our knowledge of time. This sort of thought pushes us towards accepting many things as axiomatic, such as time, space, identity, persons, mind.
27. Natural Reality / D. Time / 2. Passage of Time / h. Change in time
I disagree with the idea that time is nothing but cosmic movement [Augustine]
     Full Idea: I once heard a learned man say that time is nothing but the movement of the sun and the moon and the stars, but I do not agree.
     From: Augustine (Confessions [c.398], XI.22)
     A reaction: It is tempting to say that you either take time or movement as axiomatic, and describe one in terms of the other, but you are stuck unable to give the initial statement of the axiom without mentioning the second property you were saving for later.
27. Natural Reality / E. Cosmology / 3. The Beginning
Heaven and earth must be created, because they are subject to change [Augustine]
     Full Idea: The fact that heaven and earth are there proclaims that they were created, for they are subject to change and variation; ..the meaning of change and variation is that something is there which was not there before.
     From: Augustine (Confessions [c.398], XI.04)
     A reaction: It seems possible that the underlying matter is eternal (as in various conservation laws, such as that of energy), and that all change is in the form rather than the substance.
28. God / A. Divine Nature / 5. God and Time
If God existed before creation, why would a perfect being desire to change things? [Augustine, by Bardon]
     Full Idea: If nothing existed by God before creation, then what could have happened to, or within, God that led God to decide to create the universe at that particular moment? Why would an eternal or perfect being want or need to change?
     From: report of Augustine (Confessions [c.398]) by Adrian Bardon - Brief History of the Philosophy of Time 1 'Augustine's'
     A reaction: I suppose you could reply that change is superior to stasis, but then why did God delay the creation?
If God is outside time in eternity, can He hear prayers? [Augustine]
     Full Idea: O Lord, since you are outside time in eternity, are you unaware of the things that I tell you?
     From: Augustine (Confessions [c.398], XI.01)
     A reaction: This strikes me as the single most difficult and most elusive question about the nature of a supreme divine being. If the being is trapped in time, as we are, it is greatly diminished, and if it is outside, it is hard to see how it could be a participant.