Book description
This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.
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Playing a wide variety of audio formats
Works on all devices with iOS 13 and newer
Huge amount of features for a small price
Frequent updates to add new features and improve existing ones
Advanced playback controls
Live sound processing
Changing the timbre of the reader's voice and noise reduction
Translated into more than 20 languages
If you love listening to fiction audiobooks, ListenBook has features to make the process easier.
Edit book data: title, author, cover
Use equalizer to make the sound comfortable for you
Adjust the playback speed
Enjoy dark and light app themes
Supported formats: MP3, M4B, AWB, FLAC, OGG audio files and many more (must be DRM free)
Auto-Bookmarks make it easy to find your place
AirPlay support allows redirection of audio output.
VoiceOver support
Dark mode for night owls
Convenient bookmarking system helps you mark the most important places.
Unlimited bookmarks for each audiobook
Put your own cover on the wager
Share your audiobook with friends
Lock-screen control
Customise app with extensive options
Sleep timer with shake to reset, set custom notification sounds, and a few unique options
Auto rewind depending on paused time, customize rewind times to your liking
Removing background noise from recordings made in classrooms and meetings
Changing the timbre of the reader's voice for a better listening experience