On Logic

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Order of Contents

Books  5
Historical  2


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Book

1600’s

Alsted, Johann H.

A Compendium of Harmonic Logic  tr. by AI by OmegaPoint  (Herborn, 1615)  197 pp.

bk. 1, On the Theme

1. Logical Prerequisites  1
2. Common Properties of the Theme  3
3. Verbal Theme  6
4. Real Theme  10
5. Aggregate Theme  12

bk. 2, On the Simple Common Argument

1. Common Properties of Arguments  13
2. On Cause in General  14
3. The End  17
4. Efficient Cause  21
5. Matter  26
6. Form  29
7. The Caused  31
8. Subject  32
9. Adjunct  34
10. Antecedent, Consequent & Connection  36
11. The Diverse  37
12. Contradictions  39
13. Relative  42
[sic] 15. Privation  44
16. Disparate  45
17. Parity  45
18. Major  46
19. Minor  46
20. The Similar  47
21. The Dissimilar  48
22. The Conjugated  49
23. Notation & Name  51
24. Whole & Part  52
25. Genus & Species  54
26. Testimony & Attested  55

bk. 3, On the Simple Argument Proper

1. The Predicament of Substance  58
2. The Predicament of Quantity  60
3. The Predicament of Quality  62
4. The Predicament Action  65
5. The Predicament of Passion  67
6. The Predicament of Relation  68
7. Secondary Predicaments  71

bk. 4, On a Definition

1. Verbal Definition  73
2. Method of Investigating Perfect Definitions  74
3. Method of a Specific Definition  76
4. Method of Describing  77

bk. 5, On Distribution

1. On Verbal Distribution  80
2. Method of Investigating Distribution  81
3. Division  82
4. Partition  83
5. Imperfect Distribution  84

bk. 6, On an Axiom

1. Parts of an Axiom  86
2. Affirmed & Denied Axiom  88
3. True & False Axiom  89
4. Simple & Compound Axiom  91
5. Universal & Singular Axiom  93
6. Absolute & Determined Axiom  94
7. Axiom’s Affections  95

bk. 7, On a Syllogism

1. The Matter of Syllogism  97
2. The Form of Syllogism  99
3. Common Properties of a Syllogism  101
4. First Figure  101
5. Second Figure  104
6. Third Figure  106
7. Compound Syllogism  108
8. Disjunctive Syllogism  110
9. Deficient Syllogism  111
10. Redundant Syllogism  112
11. Inverted Syllogism  113
12. Affirmed & Negated Syllogism  114
13. Universal & Singular Syllogism  114
14. Demonstration  115
15. Secondary Necessary Syllogism  116
16. Contingent Syllogism  117

bk. 8, On Method

1. Method of Invention  118
2. Methodical Laws  119
3. Synthetic Method  121
4. Analytical Method  122
5. Particular Method  123
6. Imperfect Method  124

bk. 9, On Fallacy

1. Fallacy of the Theme  126
2. Fallacy of Arguments  128
3. Fallacy of Disagreeing Arguments  131
4. Fallacy of Comparative Arguments  133
[sic] 6. Fallacy of Testimony  135
7. Fallacy of Categories  136
8. Fallacy of Definition  138
9. Fallacy of Division  139
10. Fallacy of the Axiom  139
11. Fallacy of the Syllogism  141
12. Fallacy of Method  144

bk. 10, On the Use of Logical Instruments

1. Use of the Theme  145
2. Use of Final Cause  147
3. Use of Efficient Cause  149
4. Use of Matter  151
5. Use of Form  153
6. Use of Causes  154
7. Use of the Subject  155
8. Use of the Adjunct  157
9. Use of Antecedent, Connected & Consequent  158
10. Use of Diversities  159
11. Use of Contradictories  161
12. Use of Relatives  162
13. Use of Opposites  163
14. Use of Privatives  164
15. Use of Disparates  166
16. Use of Equals  167
17. Use of Majors  168
18. Use of Minors  169
19. Use of Similars  170
20. Use of Dissimilars  171
21. Use of Conjugates  172
22. Use of Notation  173
23. Use of the Whole & Parts  174
24. Use of Genus & Species  176
25. Use of Testimony  177
26. Use of Categories  178
27. Use of Definition  180
28. Use of Distribution  181
[sic] 30. Use of Axioms  182
31. Use of Syllogism  183
32. Use of Method  184
33. Explanation of a Simple Theme  185
34. Solitary Disputation  186
35. Social Disputation  188
36. Logical Analysis  191
37. Use of Logic in Relation to Memory  192

Conclusion  195-97

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Theological Logic, setting forth the Way one ought to Argue Singular Common Places in Most Holy Theology in General & in Specific  $5 Downloard  tr. Jonathan Tomes  (Frankfurt, 1625)

“I have often wished that one of the veteran theologians would have developed a form of logic like the one I have outlined here, though I have only sketched rather than fully worked it out.  Even though Andreas Hyperius published Theological Topics in the previous century, he did not use the method that scholars desire.

A theological logic should be crafted such that it first demonstrates a method of argumentation in general and then provides rules for forming judgments in individual common places of theological debate.  Here, I have broken the first ice.  Kindly judge, reader, what I have accomplished, and make this handbook richer through your own efforts.”

Du Moulin, Pierre – The Elements of Logic  tr. Nathanael De-lawne  Buy  (London, 1624)  191 pp.  ToC

Burgersdijck, Franco – Monitio logica, or an Abstract & Translation of Burgersdicius  (d. 1635; London, 1697)  138 pp.  ToC

Burgersdijck (1590–1635), was a Dutch logician who worked as a professor of logic and moral philosophy and rector at Leiden University.  Burgersdijk’s teaching helped raise the profile of logic and philosophy in Dutch universities.

Ramus, Peter – Peter Ramus, his Logic in two books…  also digested into question and answer…  tr. R.F. Gent  (London, 1636)  107 pp.  ToC

Ramus (1515–1572) was a French humanist, logician, and educational reformer. A Protestant convert, he was a victim of the St. Bartholomew’s Day massacre.


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Historical

On Aquinas

Books

Schmidt, Robert – The Domain of Logic according to S. Thomas Aquinas  (Hague: Martinus Nijhoff, 1966)  360 pp.  ToC

For a summary of Aquinas’s views, see the ‘Conclusion’ (pp. 302-19).  Here is the outline to it:

‘What is Logic’  302-4
‘The Subject of Logic’  304-5
‘Rationate being’  305-6
‘Intention’  306-8
‘Relation’  308-10
‘Intention of Universality’  310-11
‘Intention of Attribution’  311-14
‘Intention of Consequence’  314-15
‘Salient Features of the Logic of St. Thomas’  317-19

Testi, Claudio Antonio – Demonstration, Induction & Metaphysics in Thomas Aquinas: A Formal Approach  Pre  (Rome: Aracne, 2024)  312 pp.  ToC

Blurb: “Logic constitutes probably the greatest lacuna that remains in Thomistic studies.  Specifically, there ought to be an up-to-date text that can serve as an introduction to logic based on the texts of Aquinas, distinct from the perennially valuable traditional manuals.  In order to make the Aquinas perspective more comprehensible to the modern reader, it should also keep in mind the developments of contemporary formal logic, while shedding light on Thomas’s most relevant logical intuitions and their connection with his metaphysical thought.  This text, which is the fruit of thirty years of teaching and research, aims to fill this gap in philosophical studies.”

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