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.