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.