1 | Determining the subject of mathematics
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2 | Explanation of the relationship between mathematics and science
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3 | Determining the properties of mathematical results (the difference between mathematics and physics)
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4 | Defining the axiomatic method, examination of the postulates, axioms and definitions in the Euclid's Elements book.
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5 | Determining the distinction between mathematical thinking and everyday thinking.
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6 | Defining inductive and deductive validation and identify differences.
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7 | Defining empirical verification and mathematical proof.
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8 | Defining propositions and open propositions.
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9 | Recognizing the paradox and some specific paradoxes.
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10 | Creating truth tables by defining propositional logic.
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11 | Specifying valid and invalid arguments.
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