Random Thoughts

[Silver]

Been binge watching Supergirl this weekend, hoping to catch up before I return to work Monday evening.

[ignoramus]

Same here in summer, it's like every tree or lamp post has a spiderweb attached and it's usually a palm sized orb spider, almost non-venomous but truly terrifying as it runs across your face making you dance a hearty jig in the dark. :-)

LL. You are very quickly turning me off moving up to QLD in a couple of years...
That there alone is a deal breaker for me...

Antarctica sounds nice? No spider there I presume...

[Little lunch]

You'll get used to them and the snakes.
But if you're moving up Mackay way, it's the crocs I'd be worried about.
They're apparently being seen on the beaches now, but at least we don't get great whites or funnel webs.
You won't get used to the mozzies or the sandflies.
In my experience, you southerners never do. :-)

[Silver]

Playing some Witcher before I have to get ready for work.

[ignoramus]

LL< should I rent for a year first to make sure I like it?

Been up to the gold coast heaps of times for 3 week spells and I love the consistent nice weather.
Is it worse than that?

---

As another random thought...
I just can't find a way to trick my stupid motherboard to boot up from an M2 nvme ssd.
If the bios doesn't have it, it won't happen. No pcie, no nothing...
What's the point of having a superfast M2 if you can't put the OS on it?
Need a new motherboard... no way around it.

[Silver]

Late to work because there was a fight on the bus.

[Kernel Sohcahtoa]

I was a little puzzled over a proof exercise in one of my abstract algebra texts: I reasoned out one case but couldn't quite work out how the second case of the proof went.  However, upon analyzing the goal of the proof, there was a key definition involved, and as a result, writing this definition out and taking its negation, gave me a clearer understanding of the proof and resulted in me completing the exercise.

[Fireball]

I was a little puzzled over a proof exercise in one of my abstract algebra texts: I reasoned out one case but couldn't quite work out how the second case of the proof went.  However, upon analyzing the goal of the proof, there was a key definition involved, and as a result, writing this definition out and taking its negation, gave me a clearer understanding of the proof and resulted in me completing the exercise.

Was the proof via Reductio ad Absurdum?

[Kernel Sohcahtoa]

My proof was actually via a direct approach.  The specific definition dealt with the order of an element in a group G.  Specifically, if an element x in a group G has finite order, then "there is a positive integer n such that x^n=e," where e is the unique identity element of the group G. 

The specific exercise asked me to prove that the order of x is equal to the order of x^-1 (assuming that G is a group and x is in G), so I considered the cases where x is of finite order and x is not of finite order (in other words, x has order infinity).  For the latter case (order of x equals infinity), taking the negation of the definition of finite order gives "for every positive integer n, x^n does not equal e." Making use of this definition helped me understand that since x^n does not equal e for every positive integer n, then (x^-1)^n = x^-n = 1/x^n does not equal 1/e = e^-1 = e for every positive integer n , and so, the order of x^-1 must be infinity which is equal to the order of x.

[Amarok]

Dumbest Anti Abortion arguments 

1. Pro choice justifies slavery because claiming ones body ones choice implies one should have unlimited control over ones property thus slave owners have unlimited power over their slaves . This is stupid because 

You can't own another person nor can anyone own you nor can own yourself self is not property nor can be property so the right to choose does not come from a capitalist idea of property. But even if people could be property i would argue from personnel property as the objection the fetus is exploiting personnel resources from me thus i have the right to expel it .

2.Abortion is not just a personnel choice as murder is a public issue 

Too bad you can't defend the first but even if true murder isn't going on in a persons body so no it's not the same or are the arguing that the body should be public domain ?