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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.