PF3 Ministries

Tag: Logic

  • Liar Paradox and Logicism

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    Boethius
    in

    This statement is false. Here the opening statement must be false if it is true, and true if it is false. In other words, if the statement is false, then that means it must be true. But if the statement is true, then that means it must be false. The Liar Paradox is the paradox…

  • Philosophy of Mathematics – Part 3: Discovered or Invented

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    Boethius
    in

    In Part 1, we learned that the philosophy of mathematics is the branch of philosophy that relates to the foundation of mathematics. In Part 2, we learned that the philosophy of mathematics is also the branch of philosophy that deals with the nature of mathematics. Now in Part 3, we ponder whether mathematics is discovered…

  • Philosophy of Mathematics – Part 2: Nature

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    Boethius
    in

    As I stated earlier in Part 1, the philosophy of mathematics is the branch of philosophy that relates to the foundation of mathematics, deals with the nature of mathematics, and ponders whether mathematics is discovered or invented. Part 2 focuses upon the nature of mathematics. The books Arithmetic by Paul Lockhart and Beautiful Math: The…

  • Philosophy of Mathematics – Part 1: Foundation

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    Boethius
    in

    The branch of philosophy that relates to the foundation of mathematics, deals with the nature of mathematics, and ponders whether mathematics is discovered or invented is known as the philosophy of mathematics. Part 1 focuses upon the foundation of mathematics. The book One, Two, Three: Absolutely Elementary Mathematics by David Berlinski is a great source…

  • Brochure 3 – Overview of Logic

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    Boethius
    in

    ~ Boethius ~

  • Epistemology – Part 2: Truth

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    Boethius
    in

    As I stated earlier in Part 1, epistemology is the study of knowledge, or how we know what we know. Since the time of Plato and Aristotle, JTB (justified true belief) has been the standard understanding of knowledge. And even though JTB is not a sufficient condition for knowledge, JTB is a necessary condition for…

  • Thinking Logically

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    Boethius
    in

    A Deductive Argument is an argument where (if valid) the conclusion follows necessarily from the premises; it moves from general to particular. Premises are the claims, principles, reasons, or alleged facts cited in support of the conclusion. A Deductive Argument is sound when it is valid and all its premises are true. Deductive reasoning, when…

  • Logic and Logos

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    Boethius
    in

    Logic is a way to think so we can come to correct conclusions by understanding implications and the mistakes people often make in thinking. Logic is also the study of the methods and principles used to distinguish good (correct) from bad (incorrect) reasoning. For example, there are three principles of logic. (A is A) (A…