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An Introduction to Symbolic Logic

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This is probably the clearest book ever written on symbolic logic for the philosopher, the general scientist, and the layman. For years it has received the appreciation of those who have been rebuffed by other introductory works because of insufficient mathematical training. No special knowledge of mathematics is required here; even if you have forgotten most of your high This is probably the clearest book ever written on symbolic logic for the philosopher, the general scientist, and the layman. For years it has received the appreciation of those who have been rebuffed by other introductory works because of insufficient mathematical training. No special knowledge of mathematics is required here; even if you have forgotten most of your high school algebra, you can learn to use mathematical logic by following the directions in this book. Now revised and corrected, the book allows you to start with the simplest symbols and conventions and end up with a remarkable grasp of the Boole-Schroeder and Russell-Whitehead systems. It covers the study of forms, essentials of logical structure, generalization, classes, and the principal relations among them, universe of classes, the deductive system of classes, the algebra of logic, abstraction and interpretation, calculus of propositions, the assumptions of Whitehead and Russell's Principia Mathematica, and logistics. Appendices cover symbolic logic and the logic of the syllogism, the construction and use of truth-tables, and proofs of two theorems. "One of the clearest and simplest introductions to a subject which is very much alive." — Mathematics Gazette.


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This is probably the clearest book ever written on symbolic logic for the philosopher, the general scientist, and the layman. For years it has received the appreciation of those who have been rebuffed by other introductory works because of insufficient mathematical training. No special knowledge of mathematics is required here; even if you have forgotten most of your high This is probably the clearest book ever written on symbolic logic for the philosopher, the general scientist, and the layman. For years it has received the appreciation of those who have been rebuffed by other introductory works because of insufficient mathematical training. No special knowledge of mathematics is required here; even if you have forgotten most of your high school algebra, you can learn to use mathematical logic by following the directions in this book. Now revised and corrected, the book allows you to start with the simplest symbols and conventions and end up with a remarkable grasp of the Boole-Schroeder and Russell-Whitehead systems. It covers the study of forms, essentials of logical structure, generalization, classes, and the principal relations among them, universe of classes, the deductive system of classes, the algebra of logic, abstraction and interpretation, calculus of propositions, the assumptions of Whitehead and Russell's Principia Mathematica, and logistics. Appendices cover symbolic logic and the logic of the syllogism, the construction and use of truth-tables, and proofs of two theorems. "One of the clearest and simplest introductions to a subject which is very much alive." — Mathematics Gazette.

30 review for An Introduction to Symbolic Logic

  1. 4 out of 5

    Manny Tingplants

    Langer's conversational tone and clear style make the topic about as accessible as I can imagine it being. It's essentially written as an introduction to the works of Russell, Whitehead, Frege, etc. The paragraphs and formulas are also spaced well, as to make the text more readable. After reading this I was hungry for more, picked up Russell's Principia Mathematica, and couldn't help but grimace from Russell's unnecessarily convoluted sentence structure, lack of text parsing, and generally disor Langer's conversational tone and clear style make the topic about as accessible as I can imagine it being. It's essentially written as an introduction to the works of Russell, Whitehead, Frege, etc. The paragraphs and formulas are also spaced well, as to make the text more readable. After reading this I was hungry for more, picked up Russell's Principia Mathematica, and couldn't help but grimace from Russell's unnecessarily convoluted sentence structure, lack of text parsing, and generally disorganized presentation of what is essentially a system of absolute organization. Warning: if you're new to the field, Langer's style will spoil you. My understanding of language (both human and computer) have been expanded by this text.

  2. 5 out of 5

    Jonah

    Pretty interesting intro-type stuff... Maybe just start at like chapter seven or so, as a lot of it is real basic foundational stuff that you don't really need to know / can figure out on your own from the context. Quick, easy, if unsatisfying, and has gotten me hungry for more and more up-to-date stuff. Pretty interesting intro-type stuff... Maybe just start at like chapter seven or so, as a lot of it is real basic foundational stuff that you don't really need to know / can figure out on your own from the context. Quick, easy, if unsatisfying, and has gotten me hungry for more and more up-to-date stuff.

  3. 4 out of 5

    Stephen

  4. 5 out of 5

    GDS

  5. 4 out of 5

    Ethan

  6. 5 out of 5

    Shawn Williamson

  7. 5 out of 5

    Dave

  8. 5 out of 5

    Raigo Talv

  9. 5 out of 5

    Stefan

  10. 5 out of 5

    Shahab

  11. 4 out of 5

    Thor Bergquist

  12. 4 out of 5

    Aron

  13. 5 out of 5

    Sherline

  14. 5 out of 5

    Colton Mccoy

  15. 4 out of 5

    Michael Broggy

  16. 5 out of 5

    Quinn Jackson

  17. 4 out of 5

    John

  18. 4 out of 5

    Jeremiah

  19. 5 out of 5

    Dusan Djuric

  20. 4 out of 5

    Ryan C.

  21. 5 out of 5

    Jaccie Irwin

  22. 5 out of 5

    Nichole Caryl

  23. 5 out of 5

    Colby Aitchison

  24. 5 out of 5

    Sean Alexander

  25. 5 out of 5

    Wolfeo

  26. 4 out of 5

    FAtin Azman

  27. 4 out of 5

    Awwal

  28. 4 out of 5

    Jay X

  29. 4 out of 5

    Austin

  30. 4 out of 5

    Златозар Желязков

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