Open Advanced Search

Log in
Enterprise Plans
Free Trial

Log in
Free Trial
Enterprise Plans
Browse
Features
Pricing

DeepDyve

Advanced Search

show/hide query preview

With all of the words or DOIs:

DeepDyve's default query mode: search by keyword or DOI.

With the exact phrase:

Require these words, in this exact order. Do not surround your terms in double-quotes ("") in this field.

With at least one of the words:

Find any of these words, separated by spaces

Without the words:

Exclude each of these words, separated by spaces

With words in the article title:

Search for these terms only in the title of an article

Published between the years:

With the following authors:

Most effective as: LastName, First Name or Lastname, FN

With words in the journal name:

Search for articles published in journals where these words are in the journal name

Reset filters

Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

DeepDyve requires Javascript to function. Please enable Javascript on your browser to continue.

Essays on the Foundations of Mathematics by Moritz Pasch

Part of the The Western Ontario Series in Philosophy of Science Book Series (volume 83)

Editors: Pollard, Stephen

DOI: 10.1007/978-90-481-9416-2

ISBN: 978-90-481-9415-5

Publisher: Springer Netherlands - Springer Journals

Jun 10, 2010

1 - 10 of 15 Chapters

LitStream

Chapter 1Translator’s Introduction

Pollard, Stephen

Pages: 1 –43

[When Professor Pasch of Giessen retired at the age of 67, state regulations barred him from teaching or taking any part in university governance: activities that had hitherto consumed much of his time. The result was a burst of scholarly productivity remarkable for a man of ever more advanced...
LitStream

Chapter 2Fundamental Questions of Geometry

Pollard, Stephen

Pages: 45 –49

[English translation of Moritz Pasch,“Grundfragen der Geometrie,”Journal für die reine und angewandte Mathematik147 (1917), pp. 184–190. Pasch reviews the conceptual developments that lead from pointsPoint and bounded straight segmentsSegment!geometric, understood as physical objects, to the...
LitStream

Chapter 3The Decidability Requirement

Pollard, Stephen

Pages: 51 –54

[English translation of Moritz Pasch,“Die Forderung der Entscheidbarkeit,” Jahresbericht der Deutschen Mathematiker-Vereinigung27 (1918), pp. 228–232. Pasch attributes to KroneckerKronecker, Leopold the view that undecidableDecidability properties have no place in mathematics. Pasch suggests that...
LitStream

Chapter 4The Origin of the Concept of Number

Pollard, Stephen

Pages: 55 –93

[English translation of Moritz Pasch,“Der Ursprung des Zahlbegriffs,” Archiv der Mathematik und Physik28 (1919), pp. 17–33 and Mathematische Zeitschrift11 (1921), pp. 124–156. Pasch identifies axioms for number theoryNumber theory that, he says, “combine indispensability with the utmost...
LitStream

Chapter 5Implicit Definition and the Proper Grounding of Mathematics

Pollard, Stephen

Pages: 95 –107

[English translation of Moritz Pasch,“Die Begründung der Mathematik und die implizite Definition: Ein Zusammenhang mit der Lehre vom Als-Ob,” Annalen der Philosophie mit besonderer Rücksicht auf die Probleme der Als-Ob-Betrachtung, 2 (1921), pp. 145–162. The technique Pasch calls “implicit...
LitStream

Chapter 6Rigid Bodies in Geometry

Pollard, Stephen

Pages: 109 –116

[English translation of Moritz Pasch,“Der starre Körper in der Geometrie,” Annalen der Philosophie mit besonderer Rücksicht auf die Probleme der Als-Ob-Betrachtung3 (1922), pp. 188–199. As Pasch noted in his paper on the decidability requirement (Chapter 2 above), “Mathematics is a system with...
LitStream

Chapter 7Prelude to Geometry: The Essential Ideas

Pollard, Stephen

Pages: 117 –138

[English translation of Moritz Pasch,“Die Begriffswelt des Mathematikers in der Vorhalle der Geometrie,” Annalen der Philosophie mit besonderer Rücksicht auf die Probleme der Als-Ob-Betrachtung3 (1922), pp. 155–187. This prelude to geometry, “does not pretend to be an axiomatic presentation of...
LitStream

Chapter 8Physical and Mathematical Geometry

Pollard, Stephen

Pages: 139 –147

[English translation of Moritz Pasch,“Physikalische und mathematische Geometrie,” Annalen der Philosophie mit besonderer Rücksicht auf die Probleme der Als-Ob-Betrachtung3 (1922), pp. 362–374. Pasch discusses “the fundamental differences that separate physical from mathematical geometry.” In the...
LitStream

Chapter 9Natural Geometry

Pollard, Stephen

Pages: 149 –151

[English translation of Moritz Pasch,“Die natürliche Geometrie,” Mathematische Zeitschrift 21 (1924), pp. 151–153. The Danish mathematician Johannes HjelmslevHjelmslev, Johannes insisted that Pasch’ s axioms for projective geometry are incompatible with Pasch’ s empiricism. In this paper, Pasch...
LitStream

Chapter 10The Concept of the Differential

Pollard, Stephen

Pages: 153 –173

[English translation of Moritz Pasch,“Der Begriff des Differentials,” Annalen der Philosophie und philosophischen Kritik4 (1924), pp. 161–187. Hans VaihingerVaihinger, Hans (co-founder of the Annalen der Philosophie) argued that various mathematical theories cannot be true because close...

results per page

Browse All eBooks

Features

Search and discover articles on DeepDyve, PubMed, and Google Scholar
Read the full-text of open access and premium content
Organize articles with folders and bookmarks
Collaborate on and share articles and folders

Info

Pricing
Enterprise Plans
Browse Journals & Topics
About DeepDyve

Help

Help
Publishers
Contact Us

Sign up for your 14-Day Free Trial Now!

Read and print from thousands of top scholarly journals.

System error. Please try again!

Continue with Facebook

By signing up, you agree to DeepDyve’s Terms of Service and Privacy Policy.

Already have an account? Log in

Save Article to Bookmarks

Bookmark this article. You can see your Bookmarks on your DeepDyve Library.

To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.

Subscribe to Journal Email Alerts

To subscribe to email alerts, please log in first, or sign up for a DeepDyve account if you don’t already have one.

Follow a Journal

To get new article updates from a journal on your personalized homepage, please log in first, or sign up for a DeepDyve account if you don’t already have one.

Our policy towards the use of cookies

All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.

cookie policy