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Plato's Logic

Tommi Juhani Hanhijärvi

Plato uses a logic without defining or naming it, somewhat as verbs are used in daily life without saying “verbs” or defining them. Linguists may define them. Similarly, Plato’s Logic identifies Plato’s logic: Plato does not. He lives by it.

The logic in question is used to track down first causes. These begin or end causal series of all four of Aristotle’s types of cause. Thus for instance God in the
Laws is the first mover in a chain of movers, so God is the first efficient cause. The Republic’s Form of the Good, again, is the highest authority or order, and due to this it is the first formal cause. The Symposium’s Form of Beauty is the first final cause, that is the ultimate reward. The Phaedo’s psyche is a first material cause, being simple (and therefore immortal).

This is not a logic in Aristotle’s sense, but luckily that is not the only sense there is. Plato’s logic is relational, not Aristotelian. This is because the causes are easiest to interpret as causal relations. Then the causal relations form series, and the series begin or end in Forms or Gods. In this book’s formal vocabulary Plato’s logic is always of the form
aRbRc… zRz (if the terminus is a God) or aRbRc… zRR (if the terminus is a Form).

All of Plato’s writing is not quite like this, that is true. But his wildest and most characteristic writings are. He does admittedly write many other things as well. But the core of his philosophy consists of his hyperbolical claims about the Forms and Gods, and so they deserve to be in the limelight.

The general idea of this book is that Plato’s idealistic demands make sense in relational idioms. The idealism is not nonsensical or fallacious but rational. Speculation is a duty, not a joke or a sin. Numerous recent scholars are attacked because they belittle it.
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Hamilton Books
Pages: 224 • Trim: 6 x 8¾
978-0-7618-7089-0 • Paperback • March 2019 • $43.99 • (£35.00)
978-0-7618-7090-6 • eBook • March 2019 • $28.50 • (£19.99)
Subjects: Philosophy / Logic, Philosophy / History & Surveys / Ancient & Classical, Philosophy / Movements / Idealism
Tommi Juhani Hanhijärvi (PhD Humboldt Universität zu Berlin) is an independent scholar and a pseudonymous fiction author. His research concerns the history of idealistic systems and experiments: Plato's, Kant's, Marx's, the Transcendentalists', etc.
  1. Introduction
    1. Thesis
    2. Versus Vlastos Etc.
    3. Versus Fine, Irwin, and Nehamas
    4. Versus Owen, Gallop, Castañeda, Etc.
    5. Plato, Anti-Plato, and Totalitarianism



  1. The Hippias Major
    1. Definitions (287B-289D, 291D, 292C-E, 293C-294D, 299D-300B)
    2. Complexes (300E-303C)
    3. Self-Causation (297A-D, 303E-304A)
    4. Irony (281A, 286C-E, 287B-C, 288A-B, 292C-E, 298C, 304C-E)
    5. Dialogue About Dialogue (282E, 287E, 291D, 296B, 297D, 304D-E)
    6. Versus Woodruff (Definitions)
    7. Summary



  1. The Phaedo

3.1 Pleasures (60B-69C)

3.2 Virtues (68D-69B)

3.3 Forms(73D-75A)

3.4 Psyches (73C-76A)

3.5 Mathematics (75C-D)

3.6 Method (63C-64A, 85C-D, 89D-91C)

3.7 Reincarnation (79E-84B)

3.8 Harmony (85E-88B, 92A-93D)

3.9 Opposites (70C-72E, 102A-E, 104B-107D)

3.10 Simplicity (78B-84D)

3.11 Causality (94A-95A, 96A-99D, 100B-102D, 105B-D)

3.12 Versus Bostock I (Forms)

3.13 Versus Bostock II (Virtues)

3.14 Summary



  1. The Symposium
    1. Love (199C-212A)
    2. Creation (206B-207E, 208B-209E, 210C-D, 211C, 212A)
    3. Evolution (208E-209B, 210A-E, 211C-D)
    4. Lack (200C-204D, 206A, 207C-D, 212A)
    5. Opposites (199D-200A, 202C-D, 203E-204A, 206C-D, 207A-C)

4.6 Beauty (210E-211C, 211D-E, 212A)

4.7 Speeches upon Speeches (Entire Work)

4.8 Versus Nussbaum (Risk)

4.9 Summary





  1. The Republic

5.1 Simonides(331C-332C)

5.2 Internal and External(357A-368C)

5.3 Justice(370A-B, 374A-D, 397E, 430E-431B, 441C-442E, 443B-444B)

5.4 Er(614B-621D)

5.5 God(377E-392C)

5.6 Relativity(472B-E, 475E-D, 476A-480A, 510B-511E, 522C-526A, 583B-588A)

5.7 Dialectic (510B-511C, 532A-537C)

5.8 Sun, Line, Cave (507B-509C, 509D-511E, 514A-520A)

5.9 Versus Reeve (Good)

5.10 Summary



  1. The Laws

6.1 Self-Superiority (625E-628E)

6.2 Virtue (631B-D, 689D-E)

6.3 Pleasure (653A-654D, 659D-660A)

6.4 Gymnastics (653A-654A, Book 7)

6.5 Music (653E-656C,667E-671A, 700A-701C)

6.6 Theater (657E-663D, 700A-701C)

6.7 Education (643A-645C, 653A-673D, 788A-822D)

6.8 Discourse (720A-724A, 880D-E, 885B-899D)

6.9 Crime (859D-864B)

6.10 Labor (704D-705B, 806D-E, 918C-919E)

6.11 Ancestor Worship (656D-657C, 715D-718D)

6.12 The Deluge (677A-682E)

6.13 God (893B-899E)

6.14 God’s Thoughts (895E-897B)

6.15 Versus Bobonich (Non-Philosophers)

6.16 Summary



  1. The Lysis?



  1. The Gorgias?



  1. The Meno?



  1. The Protagoras?



  1. The Phaedrus?



  1. The Timaeus?



  1. The Theaetetus?



Bibliography

Plato's Logic

Cover Image
Paperback
eBook
Summary
Summary
  • Plato uses a logic without defining or naming it, somewhat as verbs are used in daily life without saying “verbs” or defining them. Linguists may define them. Similarly, Plato’s Logic identifies Plato’s logic: Plato does not. He lives by it.

    The logic in question is used to track down first causes. These begin or end causal series of all four of Aristotle’s types of cause. Thus for instance God in the
    Laws is the first mover in a chain of movers, so God is the first efficient cause. The Republic’s Form of the Good, again, is the highest authority or order, and due to this it is the first formal cause. The Symposium’s Form of Beauty is the first final cause, that is the ultimate reward. The Phaedo’s psyche is a first material cause, being simple (and therefore immortal).

    This is not a logic in Aristotle’s sense, but luckily that is not the only sense there is. Plato’s logic is relational, not Aristotelian. This is because the causes are easiest to interpret as causal relations. Then the causal relations form series, and the series begin or end in Forms or Gods. In this book’s formal vocabulary Plato’s logic is always of the form
    aRbRc… zRz (if the terminus is a God) or aRbRc… zRR (if the terminus is a Form).

    All of Plato’s writing is not quite like this, that is true. But his wildest and most characteristic writings are. He does admittedly write many other things as well. But the core of his philosophy consists of his hyperbolical claims about the Forms and Gods, and so they deserve to be in the limelight.

    The general idea of this book is that Plato’s idealistic demands make sense in relational idioms. The idealism is not nonsensical or fallacious but rational. Speculation is a duty, not a joke or a sin. Numerous recent scholars are attacked because they belittle it.
Details
Details
  • Hamilton Books
    Pages: 224 • Trim: 6 x 8¾
    978-0-7618-7089-0 • Paperback • March 2019 • $43.99 • (£35.00)
    978-0-7618-7090-6 • eBook • March 2019 • $28.50 • (£19.99)
    Subjects: Philosophy / Logic, Philosophy / History & Surveys / Ancient & Classical, Philosophy / Movements / Idealism
Author
Author
  • Tommi Juhani Hanhijärvi (PhD Humboldt Universität zu Berlin) is an independent scholar and a pseudonymous fiction author. His research concerns the history of idealistic systems and experiments: Plato's, Kant's, Marx's, the Transcendentalists', etc.
Table of Contents
Table of Contents
    1. Introduction
      1. Thesis
      2. Versus Vlastos Etc.
      3. Versus Fine, Irwin, and Nehamas
      4. Versus Owen, Gallop, Castañeda, Etc.
      5. Plato, Anti-Plato, and Totalitarianism



    1. The Hippias Major
      1. Definitions (287B-289D, 291D, 292C-E, 293C-294D, 299D-300B)
      2. Complexes (300E-303C)
      3. Self-Causation (297A-D, 303E-304A)
      4. Irony (281A, 286C-E, 287B-C, 288A-B, 292C-E, 298C, 304C-E)
      5. Dialogue About Dialogue (282E, 287E, 291D, 296B, 297D, 304D-E)
      6. Versus Woodruff (Definitions)
      7. Summary



    1. The Phaedo

    3.1 Pleasures (60B-69C)

    3.2 Virtues (68D-69B)

    3.3 Forms(73D-75A)

    3.4 Psyches (73C-76A)

    3.5 Mathematics (75C-D)

    3.6 Method (63C-64A, 85C-D, 89D-91C)

    3.7 Reincarnation (79E-84B)

    3.8 Harmony (85E-88B, 92A-93D)

    3.9 Opposites (70C-72E, 102A-E, 104B-107D)

    3.10 Simplicity (78B-84D)

    3.11 Causality (94A-95A, 96A-99D, 100B-102D, 105B-D)

    3.12 Versus Bostock I (Forms)

    3.13 Versus Bostock II (Virtues)

    3.14 Summary



    1. The Symposium
      1. Love (199C-212A)
      2. Creation (206B-207E, 208B-209E, 210C-D, 211C, 212A)
      3. Evolution (208E-209B, 210A-E, 211C-D)
      4. Lack (200C-204D, 206A, 207C-D, 212A)
      5. Opposites (199D-200A, 202C-D, 203E-204A, 206C-D, 207A-C)

    4.6 Beauty (210E-211C, 211D-E, 212A)

    4.7 Speeches upon Speeches (Entire Work)

    4.8 Versus Nussbaum (Risk)

    4.9 Summary





    1. The Republic

    5.1 Simonides(331C-332C)

    5.2 Internal and External(357A-368C)

    5.3 Justice(370A-B, 374A-D, 397E, 430E-431B, 441C-442E, 443B-444B)

    5.4 Er(614B-621D)

    5.5 God(377E-392C)

    5.6 Relativity(472B-E, 475E-D, 476A-480A, 510B-511E, 522C-526A, 583B-588A)

    5.7 Dialectic (510B-511C, 532A-537C)

    5.8 Sun, Line, Cave (507B-509C, 509D-511E, 514A-520A)

    5.9 Versus Reeve (Good)

    5.10 Summary



    1. The Laws

    6.1 Self-Superiority (625E-628E)

    6.2 Virtue (631B-D, 689D-E)

    6.3 Pleasure (653A-654D, 659D-660A)

    6.4 Gymnastics (653A-654A, Book 7)

    6.5 Music (653E-656C,667E-671A, 700A-701C)

    6.6 Theater (657E-663D, 700A-701C)

    6.7 Education (643A-645C, 653A-673D, 788A-822D)

    6.8 Discourse (720A-724A, 880D-E, 885B-899D)

    6.9 Crime (859D-864B)

    6.10 Labor (704D-705B, 806D-E, 918C-919E)

    6.11 Ancestor Worship (656D-657C, 715D-718D)

    6.12 The Deluge (677A-682E)

    6.13 God (893B-899E)

    6.14 God’s Thoughts (895E-897B)

    6.15 Versus Bobonich (Non-Philosophers)

    6.16 Summary



    1. The Lysis?



    1. The Gorgias?



    1. The Meno?



    1. The Protagoras?



    1. The Phaedrus?



    1. The Timaeus?



    1. The Theaetetus?



    Bibliography

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