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Andrew Wohlgemuth: How to do Mathematical Proofs. Mathematics and Philosophy.

Andrew Wohlgemuth: How to do Mathematical Proofs. What is Deductive Mathematics? Welcome to an old-fashioned, hand-coded web site. Narrow or broaden your browser window to adjust the line length of text. Use your browser's back button to return to the previous page. The text Introduction to Proof in Abstract Mathematics. Deductive Mathematics an introduction to proof and discovery for mathematics education,. As a 982K pdf file. Contents and introduction (7 pages) as a pdf file. As a 246K pdf file.

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Andrew Wohlgemuth: How to do Mathematical Proofs. Mathematics and Philosophy. | andrew-wohlgemuth.com Reviews

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Andrew Wohlgemuth: How to do Mathematical Proofs. What is Deductive Mathematics? Welcome to an old-fashioned, hand-coded web site. Narrow or broaden your browser window to adjust the line length of text. Use your browser's back button to return to the previous page. The text Introduction to Proof in Abstract Mathematics. Deductive Mathematics an introduction to proof and discovery for mathematics education,. As a 982K pdf file. Contents and introduction (7 pages) as a pdf file. As a 246K pdf file.

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Andrew Wohlgemuth: How to do Mathematical Proofs. Mathematics and Philosophy. | andrew-wohlgemuth.com Reviews

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Andrew Wohlgemuth: How to do Mathematical Proofs. What is Deductive Mathematics? Welcome to an old-fashioned, hand-coded web site. Narrow or broaden your browser window to adjust the line length of text. Use your browser's back button to return to the previous page. The text Introduction to Proof in Abstract Mathematics. Deductive Mathematics an introduction to proof and discovery for mathematics education,. As a 982K pdf file. Contents and introduction (7 pages) as a pdf file. As a 246K pdf file.

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Introduction to the Dover Edition of

http://www.andrew-wohlgemuth.com/DoverIntro.htm

Introduction to the Dover Edition of Introduction to Proof in Abstract Mathematics. The inference rules, and the general method, have been used in two other texts intended for students different from the intended readers of this text:. 1) Outlining Proofs in Calculus. Has been used as a supplement in a third-semester calculus course, to take the mystery out of proofs that a student will have seen in the calculus sequence. Has been used in courses for elementary education majors and mathematics specialists.

2

The "Unreasonable Effectiveness" of Mathematics

http://www.andrew-wohlgemuth.com/effectiveness.htm

THE "UNREASONABLE EFFECTIVENESS" OF MATHEMATICS. All proof is based on assumptions—ultimately, axioms. Non mathematical, everyday arguments for the reasonableness of some position tacitly assume a world view. One world view takes as an axiom: There are no miracles. This world view maintains either atheism, or if there be some god, that god either could not or would not do anything out of the ordinary from our human perspective. My own world view is theistic. More on this below. John Polkinghorne in his.

3

Outlining Proofs in Calculus. The Nature of Proof.

http://www.andrew-wohlgemuth.com/outintro.htm

The following is the introductory section from the text Outlining Proofs in Calculus. Consider a point p and a line l in some plane, with p not on l:. How many lines are there in the plane that pass through point p and that are parallel to line l? It seems clear, by what we mean by point , line , and plane , that there is just one such line. This assertion is logically equivalent to Euclid's 5th, or parallel, postulate (in the context of his other postulates). The truth of the theorem. Rigorous proof...

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Andrew Wohlgemuth: How to do Mathematical Proofs. Mathematics and Philosophy.

Andrew Wohlgemuth: How to do Mathematical Proofs. What is Deductive Mathematics? Welcome to an old-fashioned, hand-coded web site. Narrow or broaden your browser window to adjust the line length of text. Use your browser's back button to return to the previous page. The text Introduction to Proof in Abstract Mathematics. Deductive Mathematics an introduction to proof and discovery for mathematics education,. As a 982K pdf file. Contents and introduction (7 pages) as a pdf file. As a 246K pdf file.

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