Skip to contentSkip to Braille Studio

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.

Download .brf — Grade 2 Download .brf — Grade 1 Plain-text reader .txt

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.