Philosophy 240: Symbolic Logic
Russell Marcus, Instructor.
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Hamilton
College, Spring 2008
Class Schedule
Class |
Date |
Topic Name |
Homework to do before the next class meets |
1 |
August 29 |
Arguments |
§1.1: I.1, 3, 7, 14, 20, 27 |
2 |
September 1 |
Validity and Soundness;
Translation using
Propositional Logic |
§1.4: I.1, 3, 7, 8, 10
§1.2: VI.1, 2, 4, 7, 9
§6.1: I.1-11, 13-16 |
3 |
September 3 |
Translation, Wffs |
§6.1: I.21-23, 29, 30, 38, 39, 41-43
Homework Handout 1: Translating from Propositional
Logic
§6.1: III.1-10
§6.2: I.1-4, 9, 10 |
4 |
September 5 |
Truth Functions |
Read Fisher, pp 106-111. |
5 |
September 8 |
Philosophy 1: Conditionals |
§6.1: I.34-37, 45, 47, 48, 50
§6.2: III.III.1-3, 6-11, 12, 21, 22, 24
§6.2: II.1-3, 13, 15 |
6 |
September 10 |
More Truth Functions |
§6.2: IV.1-5, 11, 12
Prepare for Test #1. Focus on §1.1, §6.1, and §6.2. |
7 |
September 12 |
Test #1: Translation and Truth Functions |
|
8 |
September 15 |
Truth Tables for
Propositions |
§6.3: I.1-4, 11, 14
§6.3: II.1, 3, 5, 11
§6.3: III.1, 9, 10 |
9 |
September 17 |
Truth Tables for
Arguments |
Read Fisher pp 36-39 and pp 125-131. |
10 |
September 19 |
Philosophy 2: Three
Valued Logics |
§6.4: II.2, 5, 10, 17, 19
§6.4: I.1, 3, 5, 10 |
11 |
September 22 |
Invalidity and
Inconsistency:
Indirect Truth Tables |
§1.5: II.2, 3
§6.5: I.3, 6, 12, 13, 15
§6.5: II.2, 5, 9 |
12 |
September 24 |
Rules of Implication, I |
Prepare for Test #2. Focus on §6.2 - §6.5. |
13 |
September 26 |
Test #2:Truth Tables |
§7.1: III.1-3, 5, 7, 8, 14, 21, 22
§7.1: IV.1, 3, 8
Note: §7.1-§7.4 contain unassigned problems in §I and
§II. If you are finding the derivations in §III too
difficult, start with a selection from §I and §II. |
14 |
September 29 |
Rules of Implication, II |
§7.2: III.2, 4, 8, 12, 16, 22
§7.2: IV.1, 2, 6, 8 |
15 |
October 1 |
Rules of Replacement, I |
Read Fisher, pp 46-58. |
16 |
October 3 |
Philosophy 3: Propositions
and Logical Truths |
§7.3: III.6-12, 14, 18, 19, 22, 26, 32
§7.3: IV.4, 9 |
17 |
October 6 |
Rules of Replacement, II |
§7.4: III.2-5, 8, 10, 21, 24, 36, 38, 45
§7.4: IV.6, 8 |
18 |
October 8 |
Practice with Proofs |
Prepare for Test 3. Focus on §7.1-7.4. |
19 |
October 10 |
Test #3: Proofs I |
|
20 |
October 13 |
Conditional Proof |
§7.5: I.3, 7, 9, 11, 14, 18, 20
§7.5: II.3, 5
Note: You need not try each problem without
conditional proof, though trying a few may be edifying. |
21 |
October 15 |
Indirect Proof |
§7.6: I.1, 2, 4, 6, 13, 15, 17
§7.6: II.2, 4
Note: You need not try each problem without indirect or
conditional proof, though trying a few may be edifying. |
|
October 17 |
Fall Break |
|
22 |
October 20 |
Logical Truths |
§7.7: 1-3, 5, 9, 13, 16, 18
Read Fisher, pp 74-84. |
23 |
October 22 |
Philosophy 4: Modal Logic |
Prepare for Test #4.
Focus on §7.5-§7.7, but really on all of Chapter 7. |
24 |
October 24 |
Test #4: Proofs II |
|
25 |
October 27 |
Predicate Logic,
Translation I |
§8.1: 3, 4, 7-11, 14-17, 23-28, 35, 37 |
26 |
October 29 |
Predicate Logic,
Translation II |
§8.1: 2, 6, 18, 19, 21, 31-33, 39, 40, 44, 45, 50-53 |
27 |
October 31 |
Philosophy 5: Adequacy |
§8.1: 34, 36, 38, 42, 46, 50, 54, 55, 58, 60
Homework Handout 2: Translating from Predicate
Logic |
28 |
November 3 |
Quantifier Introduction
and Elimination I |
§8.2: I.1-3, 7-9
§8.2: II.1, 3, 4, 6 |
29 |
November 5 |
Quantifier Introduction
and Elimination II |
Prepare for Test #5. Focus on §8.1. |
30 |
November 7 |
Test #5: Predicate Logic
Translation |
§8.2: I.4, 5, 10, 12, 13
§8.2: II.5, 7, 9, 10 |
31 |
November 10 |
Changing Quantifiers |
§8.3: I.1, 3, 7, 8, 10, 14
§8.3: II.3, 5, 9 |
32 |
November 12 |
Conditional and Indirect
Proof, Predicate Versions |
Read Fisher, pp 59-69. |
33 |
November 14 |
Philosophy 6: Quine and
Ontological Commitment |
§8.4: I.1-4, 10, 12, 19, 21
§8.4: II.4, 6, 9 |
34 |
November 17 |
Invalidity |
§8.5: I.1, 2, 10
§8.5: II.1, 2, 6, 10
§8.5: III.2, 4 |
35 |
November 19 |
Relational Predicates,
Translation I |
Prepare for Test #6. Focus on §8.2-8.5. |
36 |
November 21 |
Test 6: Predicate Logic
Derivations |
§8.6: I.1-4, 7-10, 13, 14, 17, 19, 20 |
|
Thanksgiving
Break |
|
|
37 |
December 1 |
Relational Predicates,
Translation II |
§8.6: I.5, 6, 11, 12, 23, 24, 27, 30
Homework Handout 3: Translating from Relations |
38 |
December 3 |
Relational Predicates,
Derivations |
§8.6: II.2, 3, 4, 7, 9, 13, 14, 19
§8.6: III.1, 4, 8 |
39 |
December 5 |
Identity, Translation I |
§8.7: I. 2, 3, 6, 9, 10, 13, 14, 15, 17, 18, 22, 23, 24, 25
Read Fisher, pp 69-73. |
40 |
December 8 |
Identity, Translation II |
§8.7: I. 28, 31, 34, 35, 37-39, 40, 42, 43, 45, 46, 47, 50 |
41 |
December 10 |
Identity, Derivations |
§8.7: II.2, 3, 5, 6, 9, 11, 12, 19
§8.7: III.2, 3, 7, 8, 10, 12, 13, 15
Read Fisher, pp 153-161. |
42 |
December 12 |
Philosophy 7: The Right
Logic? |
Prepare for Test #7. Focus on §8.6 and §8.7.
Practice Problems Handout |
|
December 16
2pm - 5pm |
Test 7: Relations and
Identity Theory
Plus, Compensatory
Material |
|
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