Lecture Notes 2
... Which are valid? Sound? (worked out in lecture) All men are mortal. Socrates is a man. So, Socrates is Mortal. Bill is a man. After all, Bill is mortal and all men are mortal. All women are taller than all men. Ralph is a woman and Bill is a man. Therefore, Ralph is ...
... Which are valid? Sound? (worked out in lecture) All men are mortal. Socrates is a man. So, Socrates is Mortal. Bill is a man. After all, Bill is mortal and all men are mortal. All women are taller than all men. Ralph is a woman and Bill is a man. Therefore, Ralph is ...
Lecture Notes in Computer Science
... proof-theoretic background, have much in common. One common thread is a new emphasis on hypothetical reasoning, which is typically inspired by Gentzen-style sequent or natural deduction systems. This is not only of theoretical significance, but also bears upon computational issues. It was one purpos ...
... proof-theoretic background, have much in common. One common thread is a new emphasis on hypothetical reasoning, which is typically inspired by Gentzen-style sequent or natural deduction systems. This is not only of theoretical significance, but also bears upon computational issues. It was one purpos ...
Practice Problem Set 1
... • These problems will not be graded. • Mutual discussion and discussion with the instructor/TA is strongly encouraged. 1. [From HW1, Autumn 2011] Use the proof system of first order logic studied in class to prove each of the following sequents. You must indicate which proof rule you are applying at ...
... • These problems will not be graded. • Mutual discussion and discussion with the instructor/TA is strongly encouraged. 1. [From HW1, Autumn 2011] Use the proof system of first order logic studied in class to prove each of the following sequents. You must indicate which proof rule you are applying at ...
comments on the logic of constructible falsity (strong negation)
... Görnemann’s result suggests the conjecture that a classical model theory for the logic I have described may be obtained by allowing the domain to “grow with time”. This is in fact true. We may define a Nelson model structure as a triple (K, R, D), where K is a non-empty set of “stages of investigat ...
... Görnemann’s result suggests the conjecture that a classical model theory for the logic I have described may be obtained by allowing the domain to “grow with time”. This is in fact true. We may define a Nelson model structure as a triple (K, R, D), where K is a non-empty set of “stages of investigat ...
Predicate Logic - Teaching-WIKI
... • We'd like to conclude that Jan will get wet. But each of these sentences would just be a represented by some proposition, say P, Q and R. What relationship is there between these propositions? We can say P /\ Q → R Then, given P /\ Q, we could indeed conclude R. But now, suppose we were told Pat i ...
... • We'd like to conclude that Jan will get wet. But each of these sentences would just be a represented by some proposition, say P, Q and R. What relationship is there between these propositions? We can say P /\ Q → R Then, given P /\ Q, we could indeed conclude R. But now, suppose we were told Pat i ...
Propositional Logic
... as the propositonal satisfiability (PSAT) problem. An exhaustive procedure for solving the PSAT problem is to try systematically all of the ways to assign True and False to the atoms in the formula, checking the assignment to see if all formulas have value True under that assignment. If there are n ...
... as the propositonal satisfiability (PSAT) problem. An exhaustive procedure for solving the PSAT problem is to try systematically all of the ways to assign True and False to the atoms in the formula, checking the assignment to see if all formulas have value True under that assignment. If there are n ...
Week 3 - Ms. McKinley`s Math
... Distance-The absolute value of the difference between any two points. Length-The distance between any two points. Congruent segments-Segments that have the same length. Construction-A way of creating a figure that is more precise. Between-Given three points A, B, and C, B is between A and C if and o ...
... Distance-The absolute value of the difference between any two points. Length-The distance between any two points. Congruent segments-Segments that have the same length. Construction-A way of creating a figure that is more precise. Between-Given three points A, B, and C, B is between A and C if and o ...
Aristotle on Causation
... Aristotle wrote many books on many subjects. Some of his books are about logic, physics, and philosophy; in those books, among other topics, he talks about “causation”. When we ask a question like “what caused World War One?” or “what caused the big rain storm last June?”, Aristotle says that our qu ...
... Aristotle wrote many books on many subjects. Some of his books are about logic, physics, and philosophy; in those books, among other topics, he talks about “causation”. When we ask a question like “what caused World War One?” or “what caused the big rain storm last June?”, Aristotle says that our qu ...