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All the ideas for 'Summa totius logicae', 'The Logical Structure of the World (Aufbau)' and 'The Tragedy of Reason'

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27 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
You have to be a Platonist to debate about reality, so every philosopher is a Platonist [Roochnik]
     Full Idea: Everyone who enters into a debate about reality automatically becomes a Platonist. Since such debates are the essence of philosophy, every philosopher is a Platonist.
     From: David Roochnik (The Tragedy of Reason [1990], p.199)
     A reaction: This is correct
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
Philosophy aims to satisfy the chief human desire - the articulation of beauty itself [Roochnik]
     Full Idea: Philosophy, the attempt to articulate the vision of beauty itself, is the attempt to satisfy the highest human desire.
     From: David Roochnik (The Tragedy of Reason [1990], p.120)
     A reaction: A million miles away from modern philosophy, but still an ideal to be taken seriously.
2. Reason / A. Nature of Reason / 2. Logos
'Logos' ranges from thought/reasoning, to words, to rational structures outside thought [Roochnik]
     Full Idea: Logos can mean i) a thought or reasoning, ii) the word which expresses a thought, iii) a rational structure outside human thought. These meanings give 'logos' an extraordinary range.
     From: David Roochnik (The Tragedy of Reason [1990], Intro. 12)
In the seventeenth century the only acceptable form of logos was technical knowledge [Roochnik]
     Full Idea: In the seventeenth century only a certain type of logos was deemed legitimate, namely that identified with technical knowledge (or 'techné').
     From: David Roochnik (The Tragedy of Reason [1990], Intro. 15)
The hallmark of a person with logos is that they give reasons why one opinion is superior to another [Roochnik]
     Full Idea: What is supposed to identify the person of logos from the one without is the commitment to giving reasons explaining why one opinion is superior to another.
     From: David Roochnik (The Tragedy of Reason [1990], Intro. 17)
Logos cannot refute the relativist, and so must admit that it too is a matter of desire (for truth and agreement) [Roochnik]
     Full Idea: Logos cannot refute the radical, consistent and self-conscious relativist. Therefore it must admit that, like the relativist, it itself is essentially a matter of desire. It wants to say what is right and wrong, true and false, and for others to agree.
     From: David Roochnik (The Tragedy of Reason [1990], p.108)
Human desire has an ordered structure, with logos at the pinnacle [Roochnik]
     Full Idea: Human desire has an ordered structure, with logos at the pinnacle.
     From: David Roochnik (The Tragedy of Reason [1990], p.109)
Logos is not unconditionally good, but good if there is another person willing to engage with it [Roochnik]
     Full Idea: Logos is not unconditionally good, but good contingent on there being some other person (out there) who is willing to talk with logos, to approach it even as an opponent.
     From: David Roochnik (The Tragedy of Reason [1990], p.175)
2. Reason / A. Nature of Reason / 4. Aims of Reason
We prefer reason or poetry according to whether basics are intelligible or not [Roochnik]
     Full Idea: Is the arché (basis) intelligible, or is it chaos? Upon this question hinges all, for answering it determines whether poetry or logos is the form of human speech that best does justice to the world.
     From: David Roochnik (The Tragedy of Reason [1990], p.139)
2. Reason / A. Nature of Reason / 8. Naturalising Reason
Modern science, by aiming for clarity about the external world, has abandoned rationality in the human world [Roochnik]
     Full Idea: The modern scientific world view, with all its hope for clarity and precision, has a flipside, …which is its abandonment of rationality in the world of human significance.
     From: David Roochnik (The Tragedy of Reason [1990], p.74)
2. Reason / A. Nature of Reason / 9. Limits of Reason
Unfortunately for reason, argument can't be used to establish the value of argument [Roochnik]
     Full Idea: Unfortunately for the logos there is no argument that can, without begging the question, establish the goodness of argumentation.
     From: David Roochnik (The Tragedy of Reason [1990], p.106)
Attempts to suspend all presuppositions are hopeless, because a common ground must be agreed for the process [Roochnik]
     Full Idea: To debate about suspending all our presuppositions requires a common ground which, upon being established, immediately renders the debate superfluous.
     From: David Roochnik (The Tragedy of Reason [1990], p.144)
2. Reason / B. Laws of Thought / 3. Non-Contradiction
From an impossibility anything follows [William of Ockham]
     Full Idea: From an impossibility anything follows ('quod ex impossibili sequitur quodlibet').
     From: William of Ockham (Summa totius logicae [1323], III.c.xxxvi)
     A reaction: The hallmark of a true logician, I suspect, is that this opinion is really meaningful and important to them. They yearn to follow the logic wherever it leads. Common sense would seem to say that absolutely nothing follows from an impossibility.
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
A proposition is true if its subject and predicate stand for the same thing [William of Ockham]
     Full Idea: If in the proposition 'This is an angel' subject and predicate stand for the same thing, the proposition is true.
     From: William of Ockham (Summa totius logicae [1323], II.c.ii)
     A reaction: An interesting statement of what looks like a correspondence theory, employing the idea that both the subject and the predicate have a reference. I think Frege would say that 'x is an angel' is unsaturated, and so lacks reference.
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Ockham had an early axiomatic account of truth [William of Ockham, by Halbach]
     Full Idea: Theories structurally very similar to axiomatic compositional theories of truth can be found in Ockham's 'Summa Logicae'.
     From: report of William of Ockham (Summa totius logicae [1323]) by Volker Halbach - Axiomatic Theories of Truth 3
5. Theory of Logic / G. Quantification / 1. Quantification
The word 'every' only signifies when added to a term such as 'man', referring to all men [William of Ockham]
     Full Idea: The syncategorematic word 'every' does not signify any fixed thing, but when added to 'man' it makes the term 'man' stand for all men actually.
     From: William of Ockham (Summa totius logicae [1323], I.c.iv)
     A reaction: Although quantifiers may have become a part of formal logic with Frege, their importance is seen from Aristotle onwards, and it is clearly a key part of William's understanding of logic.
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Just as unity is not a property of a single thing, so numbers are not properties of many things [William of Ockham]
     Full Idea: Number is nothing but the actual numbered things themselves. Hence just as unity is not an accident added to the thing which is one, so number is not an accident of the things which are numbered.
     From: William of Ockham (Summa totius logicae [1323], I.c.xliv)
     A reaction: [William does not necessarily agree with this view] It strikes me as a key point here that any account of the numbers had better work for 'one', though 'zero' might be treated differently. Some people seem to think unity is a property of things.
7. Existence / A. Nature of Existence / 3. Being / g. Particular being
The words 'thing' and 'to be' assert the same idea, as a noun and as a verb [William of Ockham]
     Full Idea: The words 'thing' and 'to be' (esse) signify one and the same thing, but the one in the manner of a noun and the other in the manner of a verb.
     From: William of Ockham (Summa totius logicae [1323], III,II,c,xxvii)
     A reaction: Well said - as you would expect from a thoroughgoing nominalist. I would have thought that this was the last word on the subject of Being, thus rendering any need for me to read Heidegger quite superfluous. Or am I missing something?
7. Existence / D. Theories of Reality / 3. Reality
Reality can be viewed neutrally, or as an object of desire [Roochnik]
     Full Idea: There are two extremes: the Aristotelian views reality simply as reality, and the sophist or poet view reality only as an object of desire.
     From: David Roochnik (The Tragedy of Reason [1990], p.199)
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
Universals are single things, and only universal in what they signify [William of Ockham]
     Full Idea: Every universal is one particular thing and it is not a universal except in its signification, in its signifying many thing.
     From: William of Ockham (Summa totius logicae [1323]), quoted by Claude Panaccio - Medieval Problem of Universals 'William'
     A reaction: Sounds as if William might have liked tropes. It seems to leave the problem unanswered (the 'ostrich' problem?). How are they able to signify in this universal way, if each thing is just distinct and particular?
9. Objects / D. Essence of Objects / 6. Essence as Unifier
If essence and existence were two things, one could exist without the other, which is impossible [William of Ockham]
     Full Idea: If essence and existence were two things, then no contradiction would be involved if God preserved the essence of a thing in the world without its existence, or vice versa, its existence without its essence; both of which are impossible.
     From: William of Ockham (Summa totius logicae [1323], III,II,c,xxvii)
     A reaction: Not that William is using the concept of a supreme mind as a tool in argument. His denial of essence as something separable is presumably his denial of the Aristotelian view of universals, as well as of the Platonic view.
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Relativism is a disease which destroys the possibility of rational debate [Roochnik]
     Full Idea: Relativism is disease, is pollution, for it negates the efficacy of logos. It destroys the possibility of a complete rational debate of fundamental questions.
     From: David Roochnik (The Tragedy of Reason [1990], p.41)
14. Science / B. Scientific Theories / 1. Scientific Theory
Carnap tried to define all scientific predicates in terms of primitive relations, using type theory [Carnap, by Button]
     Full Idea: Carnap's ultimate ambition in the Aufbau is to provide a constitution-system within which any predicate of any scientific vocabulary can be explicitly defined in terms of primitive relations holding among basic elements, using type theory.
     From: report of Rudolph Carnap (The Logical Structure of the World (Aufbau) [1928]) by Tim Button - The Limits of Reason 05.2
     A reaction: David Chalmers has a modern shot at the same project in 'Constructing the World'. Ramsey sentences seem to be part of the same game.
18. Thought / D. Concepts / 4. Structure of Concepts / g. Conceptual atomism
All concepts can be derived from a few basics, making possible one science of everything [Carnap, by Brody]
     Full Idea: In the 'Aufbau', Carnap tried to show how all of our concepts can be derived from a few basic concepts. ..Consequently there can be one science which studied all that existed, the science of the objects corresponding to the basic concepts.
     From: report of Rudolph Carnap (The Logical Structure of the World (Aufbau) [1928]) by Baruch Brody - Identity and Essence 2.2
     A reaction: This is Carnap's Constructionist programme.
19. Language / D. Propositions / 4. Mental Propositions
Some concepts for propositions exist only in the mind, and in no language [William of Ockham]
     Full Idea: Conceptual terms and the propositions formed by them are those mental words which do not belong to any language; they remain only in the mind and cannot be uttered exteriorly, though signs subordinated to these can be exteriorly uttered.
     From: William of Ockham (Summa totius logicae [1323], I.c.i)
     A reaction: [He cites Augustine] A glimmer of the idea of Mentalese, and is probably an integral part of any commitment to propositions. Quine would hate it, but I like it. Logicians seem to dislike anything that cannot be articulated, but brains are like that.
19. Language / F. Communication / 1. Rhetoric
If relativism is the correct account of human values, then rhetoric is more important than reasoning [Roochnik]
     Full Idea: If relativism offers an accurate description of human values, then rhetoric replaces logos as the most fundamental human activity.
     From: David Roochnik (The Tragedy of Reason [1990], p.47)
     A reaction: Or putting it another way, logos (reason) becomes meaningless. I suppose, though, that a relativist can conduct conditional reasoning (but must belief in some rules of reason).
Reasoning aims not at the understanding of objects, but at the desire to give beautiful speeches [Roochnik]
     Full Idea: Logos originates not in a cognitive capacity for the apprehension of objects, but in the desire to give birth to beautiful speeches.
     From: David Roochnik (The Tragedy of Reason [1990], p.124)
     A reaction: It is hard for us to grasp this, but it might be quite life-enhancing if we could return to that old way of thought.