Library / Mathematics / The philosophy of mathematics / Braille
The philosophy of mathematics ⠃⠗⠋ braille edition
Grade 1 — uncontracted, letter-for-letter. Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 2 instead.
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422,205 braille cells · 448 embossed pages at 40×25 · 2,679 unrepresentable characters omitted
⠠⠠⠍⠁⠞⠓⠑⠍⠁⠞⠊⠉⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠓ ⠀⠀⠀⠀⠀⠠⠍⠑⠁⠎⠥⠗⠊⠝⠛⠀⠠⠍⠁⠛⠝⠊⠞⠥⠙⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠼⠁⠓⠀⠀⠀⠀⠀⠀⠀⠠⠙⠊⠋⠋⠊⠉⠥⠇⠞⠊⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠼⠁⠊⠀⠀⠀⠀⠀⠀⠀⠠⠛⠑⠝⠑⠗⠁⠇⠀⠠⠍⠑⠞⠓⠕⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠼⠃⠚⠀⠀⠀⠀⠀⠀⠀⠠⠊⠇⠇⠥⠎⠞⠗⠁⠞⠊⠕⠝⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠼⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠲⠀⠠⠋⠁⠇⠇⠊⠝⠛⠀⠠⠃⠕⠙⠊⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀ ⠼⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠲⠀⠠⠊⠝⠁⠉⠉⠑⠎⠎⠊⠃⠇⠑⠀⠠⠙⠊⠎⠞⠁⠝⠉⠑⠎ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠉⠲⠀ ⠠⠁⠎⠞⠗⠕⠝⠕⠍⠊⠉⠁⠇⠀⠠⠋⠁⠉⠞⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠼⠃⠙⠀⠀⠀⠀⠠⠠⠞⠗⠥⠑⠀⠠⠠⠙⠑⠋⠊⠝⠊⠞⠊⠕⠝⠀⠠⠠⠕⠋⠀ ⠠⠠⠍⠁⠞⠓⠑⠍⠁⠞⠊⠉⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠑⠀⠀⠀⠀⠀ ⠠⠁⠀⠠⠎⠉⠊⠑⠝⠉⠑⠂⠀⠝⠕⠞⠀⠁⠝⠀⠠⠁⠗⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠼⠃⠑⠀⠀⠀⠀⠠⠠⠊⠞⠎⠀⠠⠠⠞⠺⠕⠀⠠⠠⠋⠥⠝⠙⠁⠍⠑⠝⠞⠁⠇⠀ ⠠⠠⠙⠊⠧⠊⠎⠊⠕⠝⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠋⠀⠀⠀⠀⠀⠀ ⠠⠞⠓⠑⠊⠗⠀⠙⠊⠋⠋⠑⠗⠑⠝⠞⠀⠠⠕⠃⠚⠑⠉⠞⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠼⠃⠛⠀⠀⠀⠀⠀⠀⠀⠠⠞⠓⠑⠊⠗⠀⠙⠊⠋⠋⠑⠗⠑⠝⠞⠀⠠⠝⠁⠞⠥⠗⠑⠎⠀⠀⠀⠀⠀ ⠼⠃⠊⠀⠀⠀⠀⠀⠠⠉⠕⠝⠉⠗⠑⠞⠑⠀⠠⠍⠁⠞⠓⠑⠍⠁⠞⠊⠉⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠼⠉⠁⠀⠀⠀⠀⠀⠀⠀⠠⠛⠑⠕⠍⠑⠞⠗⠽⠀⠁⠝⠙⠀⠠⠍⠑⠉⠓⠁⠝⠊⠉⠎⠀⠀⠀⠀⠀⠀ ⠼⠉⠃⠀⠀⠀⠀⠀⠠⠁⠃⠎⠞⠗⠁⠉⠞⠀⠠⠍⠁⠞⠓⠑⠍⠁⠞⠊⠉⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠼⠉⠉⠀⠀⠀⠀⠀⠀⠀⠠⠞⠓⠑⠀⠠⠉⠁⠇⠉⠥⠇⠥⠎⠂⠀⠕⠗⠀⠠⠁⠝⠁⠇⠽⠎⠊⠎⠀⠀ ⠼⠉⠉⠀⠀⠀⠀⠠⠠⠑⠭⠞⠑⠝⠞⠀⠠⠠⠕⠋⠀⠠⠠⠊⠞⠎⠀⠠⠠⠋⠊⠑⠇⠙⠀⠀⠀⠀⠀⠀ ⠼⠉⠑⠀⠀⠀⠀⠀⠀⠀⠠⠊⠞⠎⠀⠠⠥⠝⠊⠧⠑⠗⠎⠁⠇⠊⠞⠽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠼⠉⠋⠀⠀⠀⠀⠀⠀⠀⠠⠊⠞⠎⠀⠠⠇⠊⠍⠊⠞⠁⠞⠊⠕⠝⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠼⠉⠛⠀⠀⠀⠀⠀⠠⠠⠃⠕⠕⠅⠀⠠⠊⠲⠀⠀⠀⠀⠠⠠⠁⠝⠁⠇⠽⠎⠊⠎⠲⠀⠀⠀⠀⠀ ⠠⠠⠉⠓⠁⠏⠞⠑⠗⠀⠠⠊⠲⠀⠀⠀⠀⠠⠏⠁⠛⠑⠀⠀⠀⠀⠠⠠⠛⠑⠝⠑⠗⠁⠇⠀
These are the same pages the .brf download embosses — form-feed breaks and all. BRF opens in braille software (Duxbury, BrailleBlaster), on embossers, and on refreshable displays.