Combining Texts

All the ideas for 'The Strangest Man', 'Elements of Mathematical Logic' and 'In Defense of Absolute Essentialism'

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11 ideas

4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
Lukasiewicz's L3 logic has three truth-values, T, F and I (for 'indeterminate') [Lukasiewicz, by Fisher]
     Full Idea: In response to Aristotle's sea-battle problem, Lukasiewicz proposed a three-valued logic that has come to be known as L3. In addition to the values true and false (T and F), there is a third truth-value, I, meaning 'indeterminate' or 'possible'.
     From: report of Jan Lukasiewicz (Elements of Mathematical Logic [1928], 7.I) by Jennifer Fisher - On the Philosophy of Logic
     A reaction: [He originated the idea in 1917] In what sense is the third value a 'truth' value? Is 'I don't care' a truth-value? Or 'none of the above'? His idea means that formalization doesn't collapse when things get obscure. You park a few propositions under I.
9. Objects / D. Essence of Objects / 6. Essence as Unifier
A property is essential iff the object would not exist if it lacked that property [Forbes,G]
     Full Idea: A property P is an essential property of an object x iff x could not exist and lack P, that is, as they say, iff x has P at every world at which x exists.
     From: Graeme Forbes (In Defense of Absolute Essentialism [1986], 1)
     A reaction: This immediately places the existence of x outside the normal range of its properties, so presumably 'existence is not a predicate', but that dictum may be doubted. As it stands this definition will include trivial and vacuous properties.
Properties are trivially essential if they are not grounded in a thing's specific nature [Forbes,G]
     Full Idea: Essential properties may be trivial or nontrivial. It is characteristic of P's being trivially essential to x that x's possession of P is not grounded in the specific nature of x.
     From: Graeme Forbes (In Defense of Absolute Essentialism [1986], 2)
     A reaction: This is where my objection to the modal view of essence arises. How is he going to explain 'grounded' and 'specific nature' without supplying an entirely different account of essence?
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
A relation is essential to two items if it holds in every world where they exist [Forbes,G]
     Full Idea: A relation R is essential to x and y (in that order) iff Rxy holds at every world where x and y both exist.
     From: Graeme Forbes (In Defense of Absolute Essentialism [1986], 2)
     A reaction: I find this bizarre. Not only does this seem to me to have nothing whatever to do with essence, but also the relation might hold even though it is a purely contingent matter. All rabbits are a reasonable distance from the local star. Essence of rabbit?
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
Trivially essential properties are existence, self-identity, and de dicto necessities [Forbes,G]
     Full Idea: The main groups of trivially essential properties are (a) existence, self-identity, or their consequences in S5; and (b) properties possessed in virtue of some de dicto necessary truth.
     From: Graeme Forbes (In Defense of Absolute Essentialism [1986], 2)
     A reaction: He adds 'extraneously essential' properties, which also strike me as being trivial, involving relations. 'Is such that 2+2=4' or 'is such that something exists' might be necessary, but they don't, I would say, have anything to do with essence.
9. Objects / D. Essence of Objects / 9. Essence and Properties
A property is 'extraneously essential' if it is had only because of the properties of other objects [Forbes,G]
     Full Idea: P is 'extraneously essential' to x iff it is possessed by x at any world w only in virtue of the possession at w of certain properties by other objects.
     From: Graeme Forbes (In Defense of Absolute Essentialism [1986], 2)
     A reaction: I would say that these are the sorts of properties which have nothing to do with being essential, even if they are deemed to be necessary.
9. Objects / D. Essence of Objects / 11. Essence of Artefacts
One might be essentialist about the original bronze from which a statue was made [Forbes,G]
     Full Idea: In the case of artefacts, there is an essentialism about original matter; for instance, it would be said of any particular bronze statue that it could not have been cast from a totally different quantity of bronze.
     From: Graeme Forbes (In Defense of Absolute Essentialism [1986], 3)
     A reaction: Forbes isn't endorsing this, and it doesn't sound convincing. He quotes the thought 'I wish I had made this pot from a different piece of clay'. We might corrupt a statue by switching bronze, but I don't think the sculptor could do so.
10. Modality / C. Sources of Modality / 4. Necessity from Concepts
The source of de dicto necessity is not concepts, but the actual properties of the thing [Forbes,G]
     Full Idea: It is widely held that the source of de dicto necessity is in concepts, ..but I deny this... even with simple de dicto necessities, the source of the necessity is to be found in the properties to which the predicates of the de dicto truth refer.
     From: Graeme Forbes (In Defense of Absolute Essentialism [1986], 3)
     A reaction: It is normal nowadays to say this about de re necessities, but this is more unusual.
27. Natural Reality / A. Classical Physics / 1. Mechanics / d. Gravity
Instead of gravitational force, we now have a pervasive gravitational field [Farmelo]
     Full Idea: Physics replaced the notion that bodies exert gravitational force on each other by the more effective picture that the bodies in the universe give rise to a pervasive gravitational field which exerts a force on each particle.
     From: Graham Farmelo (The Strangest Man [2009], 08)
     A reaction: This still uses the word 'force'. I sometimes get the impression that gravity is the curvature of space, but gravity needs more. Which direction along the curvature are particles attracted? The bottom line is the power of the bodies.
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
The Schrödinger waves are just the maths of transforming energy values to positions [Farmelo]
     Full Idea: Dirac showed that the Schrödinger waves were simply the mathematical quantities involved in transforming the description of a quantum based on its energy values to one based on possible values of its position.
     From: Graham Farmelo (The Strangest Man [2009], 08)
     A reaction: Does this eliminate actual physical 'waves' from the theory?
27. Natural Reality / B. Modern Physics / 4. Standard Model / c. Particle properties
Experiments show that fundamental particles of one type are identical [Farmelo]
     Full Idea: It is an established experimental fact ...that every single fundamental particle in the universe is the same and identical to all other particles of the same type.
     From: Graham Farmelo (The Strangest Man [2009], 07)
     A reaction: A loud groan is heard from the tomb of Leibniz. I'm unclear how experiments can establish this. If electrons have internal structure (which is not ruled out) then uniformity is highly unlikely.