Why do some things, like time or temperature, seem smooth and flowing, while others, like counting people or cars, are in clear steps?
Why do some things, like time or temperature, seem smooth and flowing, while others, like counting people or cars, are in clear steps?
Imagine you're counting the number of cars passing through a toll booth. You can't count half a car; you either have one car or none. But when you're measuring the temperature in a room, you can say it's 23.5 degrees Celsius, not just 23 or 24.
In the toll booth scenario, you're dealing with discrete events—each car is a distinct, separate event. In contrast, measuring temperature is continuous because you can have any value within a range, not just whole numbers. Discrete variables are counted in whole units, while continuous variables can take on any value within a range.
Example
You count cars in intervals of 10 minutes. You say 30 cars passed in 10 minutes, not 30.1 or 29.9. But for temperature, you might say it's 23.5 degrees Celsius, not just 23 or 24.
Remember this
Discrete variables are counted in whole units, while continuous variables can take on any value within a range.
Text adapted from Wikipedia, licensed under CC BY-SA 4.0.
Discrete mathematics
Can you count everything?
Time complexity
Why can't we always solve problems quickly?
Foundations of mathematics
Can math ever be truly complete and consistent?
The Real
How can a word mean different things over time?
Hard problem of consciousness
Hard problem vs. easy problems
Four-dimensionalism
Objects persist by having temporal parts
Swipe through 100 ML concepts daily
Open Pocket Polymath