Our three weapons are fear, surprise, and ruthless efficiency…and an almost fanatical devotion to the Pope…
Our three weapons are fear, surprise, and ruthless efficiency…and an almost fanatical devotion to the Pope…
While it was probably not the best use of our time, it certainly made me think about relations and algebra in more interesting ways than the last uni course did.
But I am not taking about an amount of different things, but a parallel or branching number line being part of the set of natural numbers.
I am not talking about modular arithmetic on its own, but as part of the set of natural numbers.
Under the missing axioms those constructs would be part of the natural numbers, including an x
in N such that s(x)=x
and therefore x+1=x
. While some might think this implies 0=1
, it doesn’t, because we don’t have the axiom of induction, an thus can’t prove a+c=b+c => a=b
.
The usefulness of such a system questionable but it certainly doesn’t describe the natural numbers as we understand them.
There are also an infinite number of rationale between two integers, but the rationals are still countable and therefore have the same cardinality as the naturals and integers.
I know how how natural numbers work, but the axioms in the comment i replied to are not enough to define them.
Not sure what you mean by ‘loops’
There could be a number n such that m=s(n)
and n=s(m)
.
This would be precluded by taking the axiom of induction or the trichotomy axiom.
If we only take the latter we can still make a second number line, that runs “parallel” to the “propper number line” like:
n,s(n),s(s(n)),s(s(s(n))),...
0,s(0),s(s(0)),s(s(s(0))),...
there are no natural numbers that are negative
I know, but the given axioms don’t preclude it. Under the peano axioms it’s explicitly spelled out:
0 is not the successor of any natural number
That axiomisation is incomplete as it doesn’t preclude stuff like loops, a predecessor to zero or a second number line.
[…] why not have a watch sized device that can store insane amounts of power?
Because Hiroshima was leveled by “only” 20 MWh (cost ranges from 120€ in northern Scandinavia to 1010€ in Greece) so having people carry energy wallets with enough to make more around day to day is like paying your groceries bill with C4 (which is perfectly save as long as there is no primary explosive).
If you want your 1.5 acres, you better not complain that the bus comes twice a day and the only doctor in the area retired 3 years ago.
If you buy a ticket last minute for a high speed train it will stay expensive. Train people want you to be predictable, so book ahead and pay around half price.
Slower trains will obviously be free at point of use.
He wanted to show that AC lines with their heigh voltages are dangerous, as he sold low voltage DC power.
How dare @[email protected] not reveal the address of the programmer instance.
I know, but otherwise there is no use for the knowledge that we live in a simulation. Unless someone can contact the outside of course.
The only thing one could do with knowledge of being in a simulation, is trying to find bugs and exploits.
From now on, I expect anyone claiming we live in a simulation to have a working perpetual motion device, faster that light communication, or something similarly impressive. If they don’t, their claim is meaningless useless.
And considering the content of the “comics”, one set up to glorify AGI as our lord and savior.
Should have gone with the rising star cave, with the homo naledi fossil location.
A computer/microcontroller can read physical cards just as well and if the specs of the hardware are well known enough for someone to write vhdl/verilog, they can also write c/rust.
If someone offered you a molecularly identical beer, would you complain that it’s not the original.
If the outcome is the exact same, who cares?
This is like golden audio cables but for retro gamers.
Why use a FPGA? For the price of the chip (113€) you could get an entire SBC that has more storage, voltage regulation and protection, 3.3V or 5V IO and linux.
Moskitos live anywhere there is stale water, so either clean it or have it wild enough that other insects outcompet them.
Put your compost pile somewhere you don’t walk past a lot, because that’s where flies congregate.
Ticks aren’t that mobile, they need some animal to carries them there.