Download or read book Philosophy and Fun of Algebra written by Boole Mary Everest and published by Franklin Classics. This book was released on 2018-10-15 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Philosophy and Fun of Algebra written by Mary Everest Boole and published by Good Press. This book was released on 2021-04-11 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Philosophy and Fun of Algebra' is a book about mathematics for children written by Mary Everest Boole—and is considered to be one of her most popular work. She was a self-taught mathematician who is best known as an author of didactic works on mathematics. Her progressive ideas on education included encouraging children to explore mathematics through playful activities such as curve stitching.
Download or read book Philosophy Fun of Algebra written by Mary Everest Boole and published by . This book was released on 1909 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Philosophy and Fun of Algebra written by Mary Everest Boole and published by Createspace Independent Publishing Platform. This book was released on 2018-08-12 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy and Fun of Algebra: Large Print By Mary Everest Boole Philosophy and Fun of Algebra by Mary Everest Boole Excerpt from Philosophy and Fun of Algebra Arithmetic, then, means dealing logically with certain facts that we know, about number, with a view to arriving at knowledge which as yet we do not possess. We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience. We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.
Download or read book Philosophy and Fun of Algebra written by Mary Everest Boole and published by Createspace Independent Publishing Platform. This book was released on 2016-08-05 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Dedication) To BASIL AND MARGARET My DEAR CHILDREN, A young monkey named Genius picked a green walnut, and bit, through a bitter rind, down into a hard shell. He then threw the walnut away, saying: "How stupid people are! They told me walnuts are good to eat." His grandmother, whose name was Wisdom, picked up the walnut peeled off the rind with her fingers, cracked the shell, and shared the kernel with her grandson, saying: " Those get on best in life who do not trust to first impressions." In some old books the story is told differently; the grandmother is called Mrs Cunning-Greed, and she eats all the kernel herself. Fables about the Cunning-Greed family are written to make children laugh. It is good for you to laugh; it makes you grow strong, and gives you the habit of understanding jokes and not being made miserable by them. But take care not to believe such fables; because, if you believe them, they give you bad dreams. MARY EVEREST BOOLE, January 1909. * * * * * CONTENTS 1. From Arithmetic to Algebra 2. The Making of Algebras 3. Simultaneous Problems 4. Partial Solutions and the Provisional Elimination of Elements of Complexity 5. Mathematical Certainty and Reductio Ad Absurdum 6. The First Hebrew Algebra 7. How to Choose Our Hypotheses 8. The Limits of the Teacher*S Function 9. The Use of Sewing Cards 10. The Story of A Working Hypothesis 11. Macbeth's Mistake 12. Jacob's Ladder 13. The Great X of the World 14. Go Out Of My Class-Room 15. Square Root of -1 16. Infinity 17. From Bondage to Freedom Appendix
Download or read book Philosophy of Mathematics written by David Bostock and published by John Wiley & Sons. This book was released on 2009-03-09 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy of Mathematics: An Introduction provides a critical analysis of the major philosophical issues and viewpoints in the concepts and methods of mathematics - from antiquity to the modern era. Offers beginning readers a critical appraisal of philosophical viewpoints throughout history Gives a separate chapter to predicativism, which is often (but wrongly) treated as if it were a part of logicism Provides readers with a non-partisan discussion until the final chapter, which gives the author's personal opinion on where the truth lies Designed to be accessible to both undergraduates and graduate students, and at the same time to be of interest to professionals
Download or read book Philosophy Fun of Algebra written by Mary Everest Boole and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Why Is There Philosophy of Mathematics At All written by Ian Hacking and published by Cambridge University Press. This book was released on 2014-01-30 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.
Download or read book Philosophy and Fun of Algebra written by Mary Everest Boole and published by Createspace Independent Publishing Platform. This book was released on 2018-04-23 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher. We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.
Download or read book Towards a Philosophy of Real Mathematics written by David Corfield and published by Cambridge University Press. This book was released on 2003-04-24 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of approaches to new thinking about the philosophy of mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures are doing real mathematics, to the use of analogy, the prospects for a Bayesian confirmation theory, the notion of a mathematical research programme and the ways in which new concepts are justified. His inspiring book challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines and points clearly to the ways in which this can be done.
Download or read book Philosophy Fun of Algebra written by Mary Everest Boole and published by . This book was released on 2019-12-20 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arithmetic means dealing logically with facts which we know (about questions of number)."Logically"; that is to say, in accordance with the "Logos" or hidden wisdom, i.e. the laws of normal action of the human mind.For instance, you are asked what will have to be paid for six pounds of sugar at 3d. a pound. You multiply the six by the three. That is not because of any property of sugar, or of the copper of which the pennies are made. You would have done the same if the thing bought had been starch or apples. You would have done just the same if the material had been tea at 3s. a pound. Moreover, you would have done just the same kind of action if you had been asked the price of seven pounds of tea at 2s. a pound. You do what you do under direction of the Logos or hidden wisdom. And this law of the Logos is made not by any King or Parliament, but by whoever or whatever created the human mind. Suppose that any Parliament passed an act that all the children in the kingdom were to divide the price by the number of pounds; the Parliament could not makethe answer come right. The only result of a foolish Act of Parliament like that would be that everybody's sums would come wrong, and everybody's accounts be in confusion, and everybody would wonder why the trade of the country was going to the bad.
Download or read book Philosophy and Fun of Algebra written by Boole Mary Everest and published by Chapman Press. This book was released on 2007-03 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: PHILOSOPHY AND FUN OF ALGEBRA WORKS BY MARY EVEREST BOOLE LOGIC TAUGHT BY LOVE. 35. 6d. net. MATHEMATICAL PSYCHOLOGY OF GRATRY AND BOOLE FOR MEDICAL STUDENTS. 35. 6d. net. BOOLES PSYCHOLOGY AS A FACTOR IN EDUCATION. 6d. net. THE MESSAGE OF PSYCHIC SCIENCE TO THE WORLD. 35. 6d. net. MISTLETOE AND OLIVE, is. 6d, net. Miss EDUCATION AND HER GARDEN. 6d net. PHILOSOPHY AND FUN OF ALGEBRA. 2s. net. C. W. DANIEL. THE PREPARATION OF THE CHILD FOR SCIENCE. 2s. THE LOGIC OF ARITHMETIC. 2s. CLARENDON PRESS. PHILOSOPHY FUN OF ALGEBRA BY MARY EVEREST BOOLE AUTHOR OF PREPARATION OP THE CHILD FOR SCIENCE, ETC. LONDON C. W. DANIEL, 1 1 CURSITOR STREET, B. C. 909 tco BASIL AND MARGARET MY DEAR CHILDREN, A young monkey named Genius picked a green walnut, and bit, through a bitter rind, down into a hard shell. He then threw the walnut away, saying u How stupid people are They told me walnuts are good to eat. His grandmother, whose name was Wisdom, picked up the walnut peeled off the rind with her fingers, cracked the shell, and shared the kernel with her grandson, saying Those get on best in life who do not trust to first impressions. In some old books the story is told differently the grand mother is called Mrs Cunning-Greed, and she eats all the kernel herself. Fables about the Cunning-Greed family are written to make children laugh. It is good for you to laugh it makes you grow strong, and gives you the habit of understanding jokes and not being made miserable by them. But take care not to believe such fables because, if you believe them, they give you bad dreams. MARY EVEREST BOOLE. January 1909. CONTENTS CHAP. p A GE 1. FROM ARITHMETIC TO ALGEBRA . . 9 2. THE MAKING OF ALGEBRAS . . . 15 3. SIMULTANEOUS PROBLEMS. . . . 1 9 4. PARTIAL SOLUTIONS AND THE PROVISIONAL ELIMINATION OF ELEMENTS OF COM PLEXITY ...... 23 5. MATHEMATICAL CERTAINTY AND REDUCTIO AD ABSURDUM ..... 26 6. THE FIRST HEBREW ALGEBRA ... 29 7. HOW TO CHOOSE OUR HYPOTHESES . . 37 8. THE LIMITS OF THE TEACHERS FUNCTION . 46 9. THE USE OF SEWING CARDS . . . 5 10. THE STORY OF A WORKING HYPOTHESIS . 55 11. MACBETHS MISTAKE . . . . 61 12. JACOBS LADDER ..... 67 CONTENTS CHAP. PAGE 13. THE GREAT X OF THE WORLD. . . 69 14. GO OUT OF MY CLASS-ROOM 73 15. N-I 77 1 6. INFINITY ...... 80 17. FROM BONDAGE TO FREEDOM ... 84 APPENDIX ...... 89 PHILOSOPHY AND FUN OF ALGEBRA CHAPTER I FROM ARITHMETIC TO ALGEBRA ARITHMETIC means dealing logically with facts which we know about questions of number. Logically that is to say, in accordance with the Logos or hidden wisdom, i. e., the laws of normal action of the human mind. For instance, you are asked what will have to be paid for six pounds of sugar at 3d. a pound. You multiply the six by the three. That is not because of any property of sugar, or of the copper of which the pennies are made. You would have done the same if the thing bought had been starch or apples. You wouM have done just the same 9 PHILOSOPHY AND FUN OF ALGEBRA if the material had been tea at 35. a pound. Moreover, you would have done just the same kind of action if you had been asked the price of seven pounds of tea at 2s. a pound. You do what you do under direction of the Logos or hidden wisdom. And this law of the Logos is made not by any King or Parliament, but by whoever or whatever created the human mind. Suppose that any Parliament passed an act that all the children in the kingdom were to divide the price by th number of pounds the Parliament could not make the answer come right. The only result of a foolish Act of Parliament like that would be that everybodys sums would come wrong, and everybodys accounts be in confusion, and every body would wonder why the trade of the country was going to the bad...
Download or read book Philosophy Fun of Algebra written by Mary Everest Boole and published by . This book was released on 1909 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics A Concise History and Philosophy written by W.S. Anglin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise introductory textbook for a one-semester (40-class) course in the history and philosophy of mathematics. It is written for mathemat ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac quire a philosophical and cultural understanding of their subject by means of doing actual mathematical problems from different eras. On the other hand, it is designed to help philosophy, history, and education students come to a deeper understanding of the mathematical side of culture by means of writing short essays. The way I myself teach the material, stu dents are given a choice between mathematical assignments, and more his torical or philosophical assignments. (Some sample assignments and tests are found in an appendix to this book. ) This book differs from standard textbooks in several ways. First, it is shorter, and thus more accessible to students who have trouble coping with vast amounts of reading. Second, there are many detailed explanations of the important mathematical procedures actually used by famous mathe maticians, giving more mathematically talented students a greater oppor tunity to learn the history and philosophy by way of problem solving.
Download or read book Philosophy And Fun Of Algebra written by Boole Mary Everest and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Philosophy Fun of Algebra written by Everest Boole and published by . This book was released on 2019-09-26 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arithmetic means dealing logically with facts which we know (about questionsof number)."Logically"; that is to say, in accordance with the "Logos" or hidden wisdom, i.e. the laws of normal action of the human mind.For instance, you are asked what will have to be paid for six pounds of sugarat 3d. a pound. You multiply the six by the three. That is not because of anyproperty of sugar, or of the copper of which the pennies are made. You wouldhave done the same if the thing bought had been starch or apples. You wouldhave done just the same if the material had been tea at 3s. a pound. Moreover, you would have done just the same kind of action if you had been asked the priceof seven pounds of tea at 2s. a pound. You do what you do under direction ofthe Logos or hidden wisdom. And this law of the Logos is made not by any Kingor Parliament, but by whoever or whatever created the human mind. Supposethat any Parliament passed an act that all the children in the kingdom wereto divide the price by the number of pounds; the Parliament could not makethe answer come right. The only result of a foolish Act of Parliament like thatwould be that everybody's sums would come wrong, and everybody's accountsbe in confusion, and everybody would wonder why the trade of the country wasgoing to the ba
Download or read book Philosophy and Fun of Algebra written by Mary Boole and published by CreateSpace. This book was released on 2014-12-11 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: My Dear Children, A young monkey named Genius picked a green walnut, and bit, through a bitter rind, down into a hard shell. He then threw the walnut away, saying: "How stupid people are! They told me walnuts are good to eat." His grandmother, whose name was Wisdom, picked up the walnut-peeled off the rind with her fingers, cracked the shell, and shared the kernel with her grandson, saying: "Those get on best in life who do not trust to first impressions." In some old books the story is told differently; the grandmother is called Mrs Cunning-Greed, and she eats all the kernel herself. Fables about the Cunning-Greed family are written to make children laugh. It is good for you to laugh; it makes you grow strong, and gives you the habit of understanding jokes and not being made miserable by them. But take care not to believe such fables; because, if you believe them, they give you bad dreams. MARY EVEREST BOOLE. Arithmetic means dealing logically with facts which we know (about questions of number). "Logically"; that is to say, in accordance with the "Logos" or hidden wisdom, i.e. the laws of normal action of the human mind. For instance, you are asked what will have to be paid for six pounds of sugar at 3d. a pound. You multiply the six by the three. That is not because of any property of sugar, or of the copper of which the pennies are made. You would have done the same if the thing bought had been starch or apples. You would have done just the same if the material had been tea at 3s. a pound. Moreover, you would have done just the same kind of action if you had been asked the price of seven pounds of tea at 2s. a pound. You do what you do under direction of the Logos or hidden wisdom. And this law of the Logos is made not by any King or Parliament, but by whoever or whatever created the human mind. Suppose that any Parliament passed an act that all the children in the kingdom were to divide the price by the number of pounds; the Parliament could not make the answer come right. The only result of a foolish Act of Parliament like that would be that everybody's sums would come wrong, and everybody's accounts be in confusion, and everybody would wonder why the trade of the country was going to the bad. In former times there were kings and emperors quite stupid enough to pass Acts like that, but governments have grown wiser by experience and found out that, as far as arithmetic goes, there is no use in ordering people to go contrary to the laws of the Logos, because the Logos has the whip hand, and knows its own business, and is master of the situation. Therefore children now are allowed to study the laws of the Logos, whenever the business on hand is finding out how much they are to pay in a shop. Sometimes your teachers set you more complicated problems than: -What is the price of six pounds of sugar? For instance: -In what proportion must one make 5 per cent. profit by selling the mixture at 1s. 9d. a pound? Arithmetic, then, means dealing logically with certain facts that we know, about number, with a view to arriving at knowledge which as yet we do not possess.
