Dictionary of Arguments


Philosophical and Scientific Issues in Dispute
 
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The author or concept searched is found in the following controversies.
Disputed term/author/ism Author Vs Author
Entry
Reference
Hume, D. Kripke Vs Hume, D. Apriori: Some philosophers modify the modalities in this characterization somehow from "may" to "shall". They think that if something belongs to the realm of a priori knowledge it is impossible to recognize it empirically.(Hume). This is wrong! (KripkeVsHume).
E.g. The computer can give an answer to the question of whether particular Numbers are primes. Nobody has calculated or proved this, but the computer gave the answer. I 45
A posteriori: A mathematical truth can be known a posteriori by looking at a computer or by asking a mathematician (e.g. naturally a posteriori). The philosophical analysis tells us that it could not be contingent and therefore all empirical knowledge of its truth is automatically an empirical knowledge of its necessity.(KripkeVsHume, KripkeVsKant) I 181

Kripke I
S.A. Kripke
Naming and Necessity, Dordrecht/Boston 1972
German Edition:
Name und Notwendigkeit Frankfurt 1981

Kripke II
Saul A. Kripke
"Speaker’s Reference and Semantic Reference", in: Midwest Studies in Philosophy 2 (1977) 255-276
In
Eigennamen, Ursula Wolf Frankfurt/M. 1993

Kripke III
Saul A. Kripke
Is there a problem with substitutional quantification?
In
Truth and Meaning, G. Evans/J McDowell Oxford 1976

Kripke IV
S. A. Kripke
Outline of a Theory of Truth (1975)
In
Recent Essays on Truth and the Liar Paradox, R. L. Martin (Hg) Oxford/NY 1984

The author or concept searched is found in the following theses of the more related field of specialization.
Disputed term/author/ism Author
Entry
Reference
Fictionalism Field, Hartry I 3
Field: the meaning in which "2+2=4" is true, is rather the meaning in which "Oliver Twist lived in London" is true: namely according to a well-known story, respectively in relation to standard mathematics. I.e. he does not literally believe that "2+2=4"!
Field pro fictionalism: this view is the correct one.
I 5
Def strong fictionalism: weak fictionalism plus the doctrine that weak fictionalism and platonism must be distinguished. Field pro strong fictionalism: Thesis: weak fictionalism and platonism do not coincide.
I 22
Solution/Wagner: (1982): we have a good story about natural numbers and a good story about amounts etc. Within these stories it is completely unimportant whether you identify numbers with quantities or with something else.
II 323
Fictionalism/Mathematics/Objectivity/Field: Thesis: there are no mathematical objects at all. a) This leads to the same limitation of mathematical objectivity: "anything goes", as long as it satisfies consistency in the above (broad) sense.
II 324
b) Modal Interpretation/Fictionalism/Field: could say a non-direct view of mathematical language according to the example "There are primes greater than a billion" does not claim the existence of anything, but only makes a modal assertion.
III 2
Instead: Thesis: Understanding mathematics as fiction.