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.