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All the ideas for 'Function and Concept', 'The Empirical Stance' and 'The Condemnation of 1277'

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24 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophy is a value- and attitude-driven enterprise [Fraassen]
     Full Idea: Philosophy is a value- and attitude-driven enterprise; philosophy is in false consciousness when it sees itself otherwise.
     From: Bas C. van Fraassen (The Empirical Stance [2002], 1.5)
     A reaction: It is one thing to be permeated with values, and another to be value-driven. Truth, reason and logic are (I take it) granted a high value in philosophy, just as the offside rule is in football. I am trying to place reality in charge, not humanity.
1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
Is it likely that a successful, coherent, explanatory ontological hypothesis is true? [Fraassen]
     Full Idea: How likely is it that a truly successful, coherent, explanatory ontological hypothesis is true?
     From: Bas C. van Fraassen (The Empirical Stance [2002], 1.5)
     A reaction: Van Fraassen announces "I reject metaphysic" (p.3), so we know where he stands. Anything becomes less certain as it moves to a higher level of generality. Should we abandon generalisation? There is much illumination in metaphysics.
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analytic philosophy has an exceptional arsenal of critical tools [Fraassen]
     Full Idea: Analytical philosophy can rightly pride itself on having produced the greatest critical arsenal the world has ever known.
     From: Bas C. van Fraassen (The Empirical Stance [2002], 1.6)
     A reaction: This is, of course, in the context of a scathing attack on the desire to use analytical methods to do speculative metaphysics. I say that if these are the best tools, then we should push forward with them to see how far we can get.
2. Reason / A. Nature of Reason / 6. Coherence
We may end up with a huge theory of carefully constructed falsehoods [Fraassen]
     Full Idea: The specter that faces us is that we may end up having explained all that is dreamt of in our philosophies by intricately crafted postulates that are false.
     From: Bas C. van Fraassen (The Empirical Stance [2002], 1.5)
     A reaction: This is more persuasive that Idea 12769. People who cannot bear to live with a total absence of explanation (with Keats's 'negative capability') are most in danger from this threat.
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Frege thought traditional categories had psychological and linguistic impurities [Frege, by Rumfitt]
     Full Idea: Frege rejected the traditional categories as importing psychological and linguistic impurities into logic.
     From: report of Gottlob Frege (Function and Concept [1891]) by Ian Rumfitt - The Boundary Stones of Thought 1.2
     A reaction: Resisting such impurities is the main motivation for making logic entirely symbolic, but it doesn't follow that the traditional categories have to be dropped.
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
First-level functions have objects as arguments; second-level functions take functions as arguments [Frege]
     Full Idea: Just as functions are fundamentally different from objects, so also functions whose arguments are and must be functions are fundamentally different from functions whose arguments are objects. The latter are first-level, the former second-level, functions.
     From: Gottlob Frege (Function and Concept [1891], p.38)
     A reaction: In 1884 he called it 'second-order'. This is the standard distinction between first- and second-order logic. The first quantifies over objects, the second over intensional entities such as properties and propositions.
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
Relations are functions with two arguments [Frege]
     Full Idea: Functions of one argument are concepts; functions of two arguments are relations.
     From: Gottlob Frege (Function and Concept [1891], p.39)
     A reaction: Nowadays we would say 'two or more'. Another interesting move in the aim of analytic philosophy to reduce the puzzling features of the world to mathematical logic. There is, of course, rather more to some relations than being two-argument functions.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]
     Full Idea: I am of the opinion that arithmetic is a further development of logic, which leads to the requirement that the symbolic language of arithmetic must be expanded into a logical symbolism.
     From: Gottlob Frege (Function and Concept [1891], p.30)
     A reaction: This may the the one key idea at the heart of modern analytic philosophy (even though logicism may be a total mistake!). Logic and arithmetical foundations become the master of ontology, instead of the servant. The jury is out on the whole enterprise.
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Frege takes the existence of horses to be part of their concept [Frege, by Sommers]
     Full Idea: Frege regarded the existence of horses as a property of the concept 'horse'.
     From: report of Gottlob Frege (Function and Concept [1891]) by Fred Sommers - Intellectual Autobiography 'Realism'
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Frege allows either too few properties (as extensions) or too many (as predicates) [Mellor/Oliver on Frege]
     Full Idea: Frege's theory of properties (which he calls 'concepts') yields too few properties, by identifying coextensive properties, and also too many, by letting every predicate express a property.
     From: comment on Gottlob Frege (Function and Concept [1891]) by DH Mellor / A Oliver - Introduction to 'Properties' §2
     A reaction: Seems right; one extension may have two properties (have heart/kidneys), two predicates might express the same property. 'Cutting nature at the joints' covers properties as well as objects.
9. Objects / A. Existence of Objects / 3. Objects in Thought
The concept 'object' is too simple for analysis; unlike a function, it is an expression with no empty place [Frege]
     Full Idea: I regard a regular definition of 'object' as impossible, since it is too simple to admit of logical analysis. Briefly: an object is anything that is not a function, so that an expression for it does not contain any empty place.
     From: Gottlob Frege (Function and Concept [1891], p.32)
     A reaction: Here is the core of the programme for deriving our ontology from our logic and language, followed through by Russell and Quine. Once we extend objects beyond the physical, it becomes incredibly hard to individuate them.
10. Modality / B. Possibility / 1. Possibility
In future, only logical limits can be placed on divine omnipotence [Anon (Par), by Boulter]
     Full Idea: The Condemnation stipulated that all portions of the ancient intellectual heritage that placed non-logical limits on divine omnipotence were no longer to be tolerated. ...Philosophers now had to entertain the wildest ideas with all seriousness.
     From: report of Anon (Par) (The Condemnation of 1277 [1277]) by Stephen Boulter - Why Medieval Philosophy Matters 3
     A reaction: Boulter identifies this as 'the ultimate source of Hume's philosophical delirium'. Presumably the angels-on-a-pinhead stuff originated with this. It is crazy to think that the only limit on possible existence is logic. Can God make a planet of uranium?
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
It is heresy to require self-evident foundational principles in order to be certain [Anon (Par)]
     Full Idea: Heresy 151: 'To have certainty regarding any conclusion, it must be founded on self-evident principles'.
     From: Anon (Par) (The Condemnation of 1277 [1277], 151), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 20.3
     A reaction: The correct view is obviously to found certainty on faith and authority. It is one thing to be told that foundationalism is a poor theory, but another to be told it is a heresy, and thus a potential capital crime!
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
Inference to best explanation contains all sorts of hidden values [Fraassen]
     Full Idea: The very phrase 'inference to the best explanation' should wave a red flag for us. What is good, better, best? What values are slipped in here, under a common name, and where do they come from?
     From: Bas C. van Fraassen (The Empirical Stance [2002], 1.5)
     A reaction: A point worth making, but overstated. If we are going to refuse to make judgements for fear that some wicked 'value' might creep in, our lives will be reduced to absurdity.
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
We accept many scientific theories without endorsing them as true [Fraassen]
     Full Idea: The choice among theories in science may be a choice to accept in some sense falling far short of endorsement as true.
     From: Bas C. van Fraassen (The Empirical Stance [2002], 1.5)
     A reaction: When put like this, it is hard to deny the force of Van Fraassen's reservations about science. Lots of people, including me, use scientific theories as working assumptions for life, with nothing like full confidence in their truth.
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
Concepts are the ontological counterparts of predicative expressions [Frege, by George/Velleman]
     Full Idea: Concepts, for Frege, are the ontological counterparts of predicative expressions.
     From: report of Gottlob Frege (Function and Concept [1891]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.2
     A reaction: That sounds awfully like what many philosophers call 'universals'. Frege, as a platonist (at least about numbers), I would take to be in sympathy with that. At least we can say that concepts seem to be properties.
An assertion about the concept 'horse' must indirectly speak of an object [Frege, by Hale]
     Full Idea: Frege had a notorious difficulty over the concept 'horse', when he suggests that if we wish to assert something about a concept, we are obliged to proceed indirectly by speaking of an object that represents it.
     From: report of Gottlob Frege (Function and Concept [1891], Ch.2.II) by Bob Hale - Abstract Objects
     A reaction: This sounds like the thin end of a wedge. The great champion of objects is forced to accept them here as a façon de parler, when elsewhere they have ontological status.
A concept is a function whose value is always a truth-value [Frege]
     Full Idea: A concept in logic is closely connected with what we call a function. Indeed, we may say at once: a concept is a function whose value is always a truth-value. ..I give the name 'function' to what is meant by the 'unsaturated' part.
     From: Gottlob Frege (Function and Concept [1891], p.30)
     A reaction: So a function becomes a concept when the variable takes a value. Problems arise when the value is vague, or the truth-value is indeterminable.
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Unlike objects, concepts are inherently incomplete [Frege, by George/Velleman]
     Full Idea: For Frege, concepts differ from objects in being inherently incomplete in nature.
     From: report of Gottlob Frege (Function and Concept [1891]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.2
     A reaction: This is because they are 'unsaturated', needing a quantified variable to complete the sentence. This could be a pointer towards Quine's view of properties, as simply an intrinsic feature of predication about objects, with no separate identity.
19. Language / B. Reference / 5. Speaker's Reference
I may regard a thought about Phosphorus as true, and the same thought about Hesperus as false [Frege]
     Full Idea: From sameness of meaning there does not follow sameness of thought expressed. A fact about the Morning Star may express something different from a fact about the Evening Star, as someone may regard one as true and the other false.
     From: Gottlob Frege (Function and Concept [1891], p.14)
     A reaction: This all gets clearer if we distinguish internalist and externalist theories of content. Why take sides on this? Why not just ask 'what is in the speaker's head?', 'what does the sentence mean in the community?', and 'what is the corresponding situation?'
25. Social Practice / E. Policies / 5. Education / d. Study of history
It is heresy to teach that history repeats every 36,000 years [Anon (Par)]
     Full Idea: It is heresy to teach that with all the heavenly bodies coming back to the same point after a period of thirty-six thousand years, the same effects as now exist will reappear.
     From: Anon (Par) (The Condemnation of 1277 [1277], §92)
28. God / A. Divine Nature / 3. Divine Perfections
It is heresy to teach that natural impossibilities cannot even be achieved by God [Anon (Par)]
     Full Idea: It is heresy to teach that what is absolutely impossible according to nature cannot be brought about by God or another agent.
     From: Anon (Par) (The Condemnation of 1277 [1277], §17)
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The Ontological Argument fallaciously treats existence as a first-level concept [Frege]
     Full Idea: The ontological proof of God's existence suffers from the fallacy of treating existence as a first-level concept.
     From: Gottlob Frege (Function and Concept [1891], p.38 n)
     A reaction: [See Idea 8490 for first- and second-order functions] This is usually summarised as the idea that existence is a quantifier rather than a predicate.
It is heresy to teach that we can know God by his essence in this mortal life [Anon (Par)]
     Full Idea: It is heresy to teach that we can know God by his essence in this mortal life.
     From: Anon (Par) (The Condemnation of 1277 [1277], §9)