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NDJFL
1998
119views more  NDJFL 1998»
13 years 4 months ago
Bochvar-McCarthy Logic and Process Algebra
We propose a combination of Bochvar’s strict three-valued logic, McCarthy’s sequential three-valued logic, and process algebra via the condi
Jan A. Bergstra, Alban Ponse
NDJFL
2000
44views more  NDJFL 2000»
13 years 4 months ago
On the Origin and Status of our Conception of Number
Abstract This paper concerns the epistemic status of "Hume's principle"-the assertion that for any concepts Fand G, the number of Fs is the same as the number of Gs ...
William Demopoulos
NDJFL
1998
81views more  NDJFL 1998»
13 years 4 months ago
An Undecidable Linear Order That Is n-Decidable for All n
A linear order is n-decidable if its universe is N and the relations determined by n formulas are uniformly computable. This means that there is a computable procedure which, when ...
John Chisholm, Michael Moses
NDJFL
2000
123views more  NDJFL 2000»
13 years 4 months ago
Cardinality, Counting, and Equinumerosity
Frege, famously, held that there is a close connection between our concept of cardinal number and the notion of one-one correspondence, a connection enshrined in Hume's Princi...
Richard G. Heck Jr.
NDJFL
1998
105views more  NDJFL 1998»
13 years 4 months ago
Idempotent Full Paraconsistent Negations are not Algebraizable
Using methods of abstract logic and the theory of valuation, we prove that there is no paraconsistent negation obeying the law of double negation and such that ¬(a ∧ ¬a) is a t...
Jean-Yves Béziau