Annals of Pure and Applied Logic Ordinal machines and admissible
... recursive enumerability and recursiveness in admissible recursion theory is equivalent to enumerability and computability by certain Turing machines working on ordinals. This was proved by the first author (Section 2) after a talk by Sy Friedman on ordinal recursion theory at the Bonn International ...
... recursive enumerability and recursiveness in admissible recursion theory is equivalent to enumerability and computability by certain Turing machines working on ordinals. This was proved by the first author (Section 2) after a talk by Sy Friedman on ordinal recursion theory at the Bonn International ...
A Conditional Logical Framework *
... Conditional Logical Framework LFK is the same exploited in [HLL07] for the General Logical Framework GLF. However, there is an important difference between the two frameworks in the definition of predicates. On one hand, predicates in [HLL07] are used both to determine whether β-reduction fires and ...
... Conditional Logical Framework LFK is the same exploited in [HLL07] for the General Logical Framework GLF. However, there is an important difference between the two frameworks in the definition of predicates. On one hand, predicates in [HLL07] are used both to determine whether β-reduction fires and ...
analysis of knowledge, assertion, verification
... On the one hand, one could claim that knowledge and assertion are independent concepts, but I am very sceptical of this, since they are both propositional attitudes, belong to the same linguistic category. On the other hand, one could maintain that knowledge and assertion are concepts of the same l ...
... On the one hand, one could claim that knowledge and assertion are independent concepts, but I am very sceptical of this, since they are both propositional attitudes, belong to the same linguistic category. On the other hand, one could maintain that knowledge and assertion are concepts of the same l ...
Introduction to Predicate Logic
... Every cat is sleeping. a. (every cat)(it is sleeping) b. for all x, x is a cat, x is sleeping c. = true iff ‘it is sleeping’ is true for all possible values for ‘it’ in the domain ...
... Every cat is sleeping. a. (every cat)(it is sleeping) b. for all x, x is a cat, x is sleeping c. = true iff ‘it is sleeping’ is true for all possible values for ‘it’ in the domain ...
Wittgenstein`s Tractatus Logico
... to refer to exists. But the existence of a complex object depends upon its parts being arranged in a certain way; and its parts will be arranged in a that way only if some proposition, which says that they are arranged that way, is true. So we get the thesis stated in §2.0211: if all objects were c ...
... to refer to exists. But the existence of a complex object depends upon its parts being arranged in a certain way; and its parts will be arranged in a that way only if some proposition, which says that they are arranged that way, is true. So we get the thesis stated in §2.0211: if all objects were c ...
Indexical Predicates, Speaker`s Meaning and Truth
... condition at a given time, used so as to mean what they do mean in English. How many distinct things might be said in words with all that true of them? Many. … Suppose a Japanese maple leaf, turned brown, was painted green for a decoration. In sorting leaves by colour, one might truly call this one ...
... condition at a given time, used so as to mean what they do mean in English. How many distinct things might be said in words with all that true of them? Many. … Suppose a Japanese maple leaf, turned brown, was painted green for a decoration. In sorting leaves by colour, one might truly call this one ...
Factoring out the impossibility of logical aggregation
... K = {p1 , . . . , pm , . . .} ∪ all K-disjunctions p where k, K ∈ [3, |0 |] are fixed numbers. The theory of logical aggregation investigates aggregative rules for judgment sets, where definite logical restrictions are imposed on what counts as such a set. Technically, it is any nonempty subset B ⊆ ...
... K = {p1 , . . . , pm , . . .} ∪ all K-disjunctions p where k, K ∈ [3, |0 |] are fixed numbers. The theory of logical aggregation investigates aggregative rules for judgment sets, where definite logical restrictions are imposed on what counts as such a set. Technically, it is any nonempty subset B ⊆ ...
![overhead 7/conditional proof [ov]](http://s1.studyres.com/store/data/001382039_1-0b1da7da92f361d09e7b75df5e92d0f1-300x300.png)
overhead 7/conditional proof [ov]
... 7. N (O P) CP 3-6 - to prove N (O P) follows, all you have to show is that IF N is true, then (O P) is true (using rules of logic and prior lines of the proof as your resources) - the assumption on line 3. in effect says "If N is true..."; of course, this doesn't mean anything by itself, b ...
... 7. N (O P) CP 3-6 - to prove N (O P) follows, all you have to show is that IF N is true, then (O P) is true (using rules of logic and prior lines of the proof as your resources) - the assumption on line 3. in effect says "If N is true..."; of course, this doesn't mean anything by itself, b ...
The Foundations
... 6. “Every even number > 2 is the sum of two prime numbers.” ---Goldbach’s conjecture (1742) ...
... 6. “Every even number > 2 is the sum of two prime numbers.” ---Goldbach’s conjecture (1742) ...
Backwards and Forwards - Cornell Math
... What do groups, rings, vector spaces over a field, boolean algebras, lattices, partial orders, etc... all have in common? Each is a mathematical structure, with certain distinguished relations, functions and constants, acting in a prescribed way upon an underlying set. We want to formalize this in s ...
... What do groups, rings, vector spaces over a field, boolean algebras, lattices, partial orders, etc... all have in common? Each is a mathematical structure, with certain distinguished relations, functions and constants, acting in a prescribed way upon an underlying set. We want to formalize this in s ...
Scattered Sentences have Few Separable Randomizations
... Fix a countable first order signature L. A sentence ϕ of the infinitary logic Lω1 ω is scattered if there is no countable fragment LA of Lω1 ω such that ϕ has a perfect set of countable models that are not LA -equivalent. Scattered sentences were introduced by Morley [M], motivated by Vaught’s conje ...
... Fix a countable first order signature L. A sentence ϕ of the infinitary logic Lω1 ω is scattered if there is no countable fragment LA of Lω1 ω such that ϕ has a perfect set of countable models that are not LA -equivalent. Scattered sentences were introduced by Morley [M], motivated by Vaught’s conje ...