The Language of Argument
1 2 3 B a s i c P r o p o s i t i o n a l C o n n e c t i v e s construct a new proposition from just one proposition—by negatin ...
1 2 4 C H A P T E R 6 ■ P r o p o s i t i o n a l L o g i c with “It is not the case that... .” For example, “I did none of the ...
1 2 5 B a s i c P r o p o s i t i o n a l C o n n e c t i v e s Process of Elimination Using only negation and disjunction, we c ...
1 2 6 C H A P T E R 6 ■ P r o p o s i t i o n a l L o g i c Process of elimination is sometimes confused with a similar but cruc ...
1 2 7 B a s i c P r o p o s i t i o n a l C o n n e c t i v e s determined by the truth value of the original propositions. For ...
1 2 8 C H A P T E R 6 ■ P r o p o s i t i o n a l L o g i c TESTING FOR VALIDITY What is the point of all this? In everyday life ...
1 2 9 B a s i c P r o p o s i t i o n a l C o n n e c t i v e s Using these abbreviations, the argument and its counterpart argu ...
1 3 0 C H A P T E R 6 ■ P r o p o s i t i o n a l L o g i c Of course, as soon as an argument becomes at all complex, these trut ...
1 3 1 B a s i c P r o p o s i t i o n a l C o n n e c t i v e s The labeling not only shows that the argument form is invalid, i ...
1 3 2 C H A P T E R 6 ■ P r o p o s i t i o n a l L o g i c 3 . ~ (p ∨ q) 7. (p & q) ∨ (p & r) p ∴ p & (q ∨ r) ∴ q 4 ...
1 3 3 B a s i c P r o p o s i t i o n a l C o n n e c t i v e s Construct a truth table analysis of the expression on the right ...
1 3 4 C H A P T E R 6 ■ P r o p o s i t i o n a l L o g i c truth-functionally equivalent, then it does not matter which one we ...
1 3 5 C o n d i t i o n a l s connectives. When this is so, it is possible to test for validity in a purely me- chanical way. Th ...
1 3 6 C H A P T E R 6 ■ P r o p o s i t i o n a l L o g i c Truth Tables for Conditionals For conjunction, disjunction, and nega ...
1 3 7 C o n d i t i o n a l s derivation can be run in the other direction as well. But if each of these expres- sions is deriva ...
1 3 8 C H A P T E R 6 ■ P r o p o s i t i o n a l L o g i c These same techniques allow us to show that one of the traditional f ...
1 3 9 C o n d i t i o n a l s The truth table showing the invalidity of this argument form looks like this: Premise Premise Conc ...
1 4 0 C H A P T E R 6 ■ P r o p o s i t i o n a l L o g i c Another argument form that has been historically significant is call ...
1 4 1 C o n d i t i o n a l s Two more classic, common, and useful argument forms combine conditionals with disjunction. Using t ...
1 4 2 C H A P T E R 6 ■ P r o p o s i t i o n a l L o g i c (p ∨ q) & (p ∨ r) ~r ∴ ~q (p ⊃ q) & (p ⊃ ~r) q & r ∴ ~p ...
«
3
4
5
6
7
8
9
10
11
12
»
Free download pdf