The Philosophy of Mathematics

By Edward A. Maziarz | Go to book overview

CHAPTER V.
British Empiricism

THE SCHOOL OF rationalism which Descartes inaugurated on the European continent had a correlative but dissident rival in the era of British empiricism1. In mathematics and physics, Cartesian apriorism was offset by Newton's experimental-mathematical method, while in the formulation of philosophical problems, the British thinkers adopted the empirical and critical attitude of John Locke in contrast to continental dogmatism and idealism2. This critical attitude was combined with a practical approach to philosophical problems, causing the British school to be more concerned with ethical and political problems while the rationalists emphasized systematic philosophy3. The rationalist emphasis on intellectual and the empiricist concern with sense knowledge are the two threads of thought later gathered up by Kant, who attempted to knit them together without laying undue stress on either.

Both the rationalist and empiricist schools treated the problem of scientific and mathematical abstraction somewhat cavalierly. The rationalist theory of science in Descartes, Spinoza and Leibniz, influenced by mathematics, inclined to an identification of all sciences, with no regard towards a careful mental process of abstraction. Certainty, exactness, clarity and intuitive ideas were the scientific measures. Fields of speculative research in which these goals were unattainable were either denied scientific status or "rationalized" to meet the ideal standard. This propensity to homogenize the probability and intricacy inherent in our knowledge of nature, of psychology, morals and politics, was due to

-75-

Notes for this page

Add a new note
If you are trying to select text to create highlights or citations, remember that you must now click or tap on the first word, and then click or tap on the last word.
One moment ...
Default project is now your active project.
Project items
Notes
Cite this page

Cited page

Style
Citations are available only to our active members.
Buy instant access to cite pages or passages in MLA 8, MLA 7, APA and Chicago citation styles.

(Einhorn, 1992, p. 25)

(Einhorn 25)

(Einhorn 25)

1. Lois J. Einhorn, Abraham Lincoln, the Orator: Penetrating the Lincoln Legend (Westport, CT: Greenwood Press, 1992), 25, http://www.questia.com/read/27419298.

Note: primary sources have slightly different requirements for citation. Please see these guidelines for more information.

Cited page

Bookmark this page
The Philosophy of Mathematics
Table of contents

Table of contents

Settings

Settings

Typeface
Text size Smaller Larger Reset View mode
Search within

Search within this book

Look up

Look up a word

  • Dictionary
  • Thesaurus
Please submit a word or phrase above.
Print this page

Print this page

Why can't I print more than one page at a time?

Help
Full screen
Items saved from this book
  • Bookmarks
  • Highlights & Notes
  • Citations
/ 290

matching results for page

    Questia reader help

    How to highlight and cite specific passages

    1. Click or tap the first word you want to select.
    2. Click or tap the last word you want to select, and you’ll see everything in between get selected.
    3. You’ll then get a menu of options like creating a highlight or a citation from that passage of text.

    OK, got it!

    Cited passage

    Style
    Citations are available only to our active members.
    Buy instant access to cite pages or passages in MLA 8, MLA 7, APA and Chicago citation styles.

    "Portraying himself as an honest, ordinary person helped Lincoln identify with his audiences." (Einhorn, 1992, p. 25).

    "Portraying himself as an honest, ordinary person helped Lincoln identify with his audiences." (Einhorn 25)

    "Portraying himself as an honest, ordinary person helped Lincoln identify with his audiences." (Einhorn 25)

    "Portraying himself as an honest, ordinary person helped Lincoln identify with his audiences."1

    1. Lois J. Einhorn, Abraham Lincoln, the Orator: Penetrating the Lincoln Legend (Westport, CT: Greenwood Press, 1992), 25, http://www.questia.com/read/27419298.

    Cited passage

    Thanks for trying Questia!

    Please continue trying out our research tools, but please note, full functionality is available only to our active members.

    Your work will be lost once you leave this Web page.

    Buy instant access to save your work.

    Already a member? Log in now.

    Search by... Author
    Show... All Results Primary Sources Peer-reviewed

    Oops!

    An unknown error has occurred. Please click the button below to reload the page. If the problem persists, please try again in a little while.