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.

The Arché Papers on the Mathematics of Abstraction

Part of the The Western Ontario Series in Philosophy of Science Book Series (volume 71)

Editors: Cook, Roy T.

DOI: 10.1007/978-1-4020-4265-2

ISBN: 978-1-4020-4264-5

Publisher: Springer Netherlands - Springer Journals

Jan 1, 2007

1 - 10 of 20 Chapters

LitStream

Is Hume’s Principle Analytic?

Boolos, George

Pages: 3 –15

[There are a number of issues on which Crispin Wright and I disagree, some of them substantive and some merely terminological. For example, we disagree over whether the term “analytic” can be suitably applied to HP and whether a derivation of arithmetic from HP would establish a doctrine...
LitStream

Is Hume’s Principle Analytic?

Wright, Crispin

Pages: 17 –43

[It was George Boolos who, following Frege’s somewhat charitable lead at Grundlagen §63, first gave the name, “Hume’s Principle”, to the constitutive principle for identity of cardinal number: that the number of F’s is the same as the number of G’s just in case there exists a one-to-one...
LitStream

Frege, Neo-Logicism and Applied Mathematics

Clark, Peter

Pages: 45 –60

[I myself was long reluctant to recognize ranges of values and hence classes; but I saw no other possibility of placing arithmetic on a logical foundation. But the question is how do we apprehend logical objects? And I have found no other answer to it than this, We apprehend them as extensions of...
LitStream

Finitude and Hume’s Principle

Heck, Richard G.

Pages: 61 –84

[The paper formulates and proves a strengthening of ‘Frege’s Theorem’, which states that axioms for second-order arithmetic are derivable in second-order logic from Hume’s Principle, which itself says that the number of Fs is the same as the number of Gs just in case the Fs and Gs are...
LitStream

On Finite Hume

MacBride, Fraser

Pages: 85 –93
LitStream

Could Nothing Matter?

MacBride, Fraser

Pages: 95 –104

[According to the neo-Fregean we may acquire a priori knowledge of arithmetic’s fundamental laws by reflecting upon the (recognisable) second-order logical consequences of an a priori principle (Hume’s Principle) that specifies identity conditions for cardinal numbers]
LitStream

On the Philosophical Interest of Frege Arithmetic

Demopoulos, William

Pages: 105 –115

[Traditional “Fregean” logicism held that arithmetic could be shown free of any dependence on Kantian intuition if its basic laws were shown to follow from logic together with explicit definitions. It would then follow that our knowledge of arithmetic is knowledge of the same character as our...
LitStream

“Neo-Logicist” Logic is not Epistemically Innocent

Shapiro, Stewart; Weir, Alan

Pages: 119 –146

[A number of philosophers in recent years, most notably Crispin Wright and Bob Hale, have tried to revive something recognisably akin to the logicist programme of showing that mathematical truths are in some sense analytic, a priori or at any rate “epistemically innocent”. They do so in the face...
LitStream

Aristotelian Logic, Axioms, and Abstraction

Cook, Roy T.

Pages: 147 –153

[Neo-logicism is the view that various branches of mathematics can be reformulated in terms of abstraction principles that we can stipulate, and thus come to know the truth of, a priori. The main success story of neo-logicism so far is the derivation of arithmetic from Hume’s Principle:]
LitStream

Frege’s Unofficial Arithmetic

Rayo, A.

Pages: 155 –172

[In The Foundations of Arithmetic and The Basic Laws of Arithmetic, Frege held the view that number-terms refer to objects. Later in his life, however, he seems to have been open to other possibilities]

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