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.