Seneca And Unfinished Relationships
Never lift you hand from the finished work, for you could actually finish it.
Mathematics, philosophy, programming, in-line skating, and everything in between. More about me…
Never lift you hand from the finished work, for you could actually finish it.
Hacking together concepts from mathematical analysis, mathematical logic, and computer science and finding similarities while half asleep can be fun! :-)
In my personal philosophy, I’m leaning towards determinism: the view that our actions, decisions, and destinies are somehow decided – determined – in advance. However, I am able to differentiate at least between two types of determinism. Both have their issues, both need to be thought through more, and neither of them wins the argument for me. What about you?
There’s a great new comic at Spiked Math: It’s a small world (after all). Be sure to check it out even if you are not a mathematician. Using mathematical reasoning, the comic asserts that the number of ways you could lead your life is finite, in other words, there is a limit to what you could do in your life. I strongly disagree, and I can disprove this assertion using the very same tool: mathematics :-)
We use natural numbers 1, 2, 3,… (sometimes including zero) in everyday life so obviously, so effortlessly, and so automatically that it hardly ever occurs to us to ask what they actually are. What is a natural number? How do you define twenty-seven? Let us take a brief look at three approaches, ranging from Plato to the present day, that try to set down a formal definition of the fundamental term number.
Notes to self. Quoted from Τὰ εἰς ἑαυτόν, a philosophical book by Marcus Aurelius (121 – 180 CE), a Roman emperor.
A high-school teacher once openly derided a pupil for his English pronunciation. “After four years of high school study, I would expect something more worthy of thy education”, saith the teacher. “Many a word have thou utterly transmogrified by thy unbecoming articulation, and thy discourse was not a little difficult to understand and make sense of.” Not content with abasing the pupil thus, he chided him yet more.