Skip to contentSkip to Braille Studio

Library / Mathematics / The philosophy of mathematics / Braille

The philosophy of mathematics ⠃⠗⠋ braille edition

Grade 2 — contracted English braille (EBAE-compatible subset). Translated on this server by our own braille engine (BRF — Braille Ready Format, Library of Congress fdd000551). View Grade 1 instead.

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

353,784 braille cells · 373 embossed pages at 40×25 · 661 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.