Random Thoughts Part 5: Time to Split Again

[collinsmark]

I don't understand Boolean algebra

hasn't there been binary systems before Boole
China had a binary system, even Ancient Africa had a binary system
Africa had the Odu of Ifa system
Egypt, India etc. had the binary system as well
what made Boolean logic so different?

I can't speak for the history. "Boolean" algebra is not synonymous with a mathematical, base-2 system. They are different things.

Boolean algebra deals with concepts of True, False, not And and Or (among a few others). One can use Boolean functions to construct binary components. For example, in your computer's CPU in its arithmetic logic unit (ALU), things like binary adders can be broken down into many AND, OR, NOT, and XOR gates (including NAND and NOR gates, etc.)

These logical gates (AND, OR, etc.,) can be constructed out of transistors.

 

[BornCane]

Boolean is not just a means of counting as are other binary systems, it is also a formal system of logic,

so is that what separates it from other ancient binary systems?

 

[zoobyshoe]

Boolean this:

How many different girls are in this photo?

http://www.dailydot.com/lol/instagram-girls-mirror-photo-optical-illusion/?fb=dd

After much puzzlement, I think I found the answer.

 

[BornCane]

I can't speak for the history. "Boolean" algebra is not synonymous with a mathematical, base-2 system. They are different things.

Boolean algebra deals with concepts of True, False, not And and Or (among a few others). One can use Boolean functions to construct binary components. For example, in your computer's CPU in its arithmetic logic unit (ALU), things like binary adders can be broken down into many AND, OR, NOT, and XOR gates (including NAND and NOR gates, etc.)

These logical gates (AND, OR, etc.,) can be constructed out of transistors.

this is the ancient africa Ifa system

https://en.wikipedia.org/wiki/Ifá that is binary

so you would differentiate this from Boolean Algebra?

 

[BornCane]

Boolean this:
View attachment 97533

How many different girls are in this photo?

http://www.dailydot.com/lol/instagram-girls-mirror-photo-optical-illusion/?fb=dd

After much puzzlement, I think I found the answer.

the answer

is 4

 

[rootone]

Two? - and two mirrors?

 

[BornCane]

Two? - and two mirrors?

but how can a mirror give reflection to another mirror?

 

[zoobyshoe]

Two? - and two mirrors?

IMO, the answer certainly must be found by thinking in terms of mirrors. The alternative, no mirrors, would require that it either be photoshopped, which would make it a stupid waste of time, or that the photographer had access to extremely rare phenomena.

 

[collinsmark]

this is the ancient africa Ifa system

https://en.wikipedia.org/wiki/Ifá that is binary

so you would differentiate this from Boolean Algebra?

I don't even know where to start.

Let me repeat, Boolean algebra, in and of itself, is not a binary counting system. However, it can be used for many things from such things as analyzing somebody's argument to determine if it is a valid argument, to building hardware based, binary systems such as the one you used to write your post on or read this post on.

Ifá, on the other hand (If I understand the link correctly) is a system for performing religious, psychic divination. They are in completely different realms.

 

[Ibix]

How many different girls are in this photo?

http://www.dailydot.com/lol/instagram-girls-mirror-photo-optical-illusion/?fb=dd

After much puzzlement, I think I found the answer.

I see two.

Spoiler

There's a mirror perpendicular to the wall they're leaning against, sticking out where there is a black line. There is a second mirror just out of shot on the left. Probably the easiest way to visualise this is one of the booths where you can try clothes on in shops. There are mirrors on both side walls; the girls are sitting on a bench on the back wall using up all the space; the camera is pretty much pressed up against one wall near the door, looking across the booth on a slight diagonal.

That's my take, anyway.

 

[collinsmark]

Let me make up a quick example of what a Boolean expression is. For the purpose of this post I'll spell everything out instead of using symbolic shorthand.

Below represents a single Boolean expression that I just made up now, but for clarity, I'll break it up into several smaller expressions:

A, B, D, and E are input variables:

C is true if both A and B are true.
F is true if either D or E is true.
G is true if both E and A are true.
H is true if either "A is true" or "F is not true", but not both (if both "A is true" and "F is not true" are true, H is false).

J is true if C is true, G is false, and H is true.

So here is a question you can use Boolean algebra to help solve:
If we have:
A: True
B: True
D: False
E: False

What is J (True or False)?

That's a very simple Boolean problem. They can get a lot more complicated. This was just for a simple example.

 

[1oldman2]

I see two.

That is what I count also.

 

[zoobyshoe]

Two is certainly the minimum number of different girls there could be.

 

[BornCane]

name the 4 scientists left to right

 

[1oldman2]

Two is certainly the minimum number of different girls there could be.

According to my wife, anymore than one is big trouble.

 

[zoobyshoe]

name the 4 scientists left to right

I get to name them? O.K.: Larry, Moe, Curly, Shemp.

 

[collinsmark]

name the 4 scientists left to right

My guesses are

Spoiler

In order from left to right,

Albert Einstein
Isaac Newton
Charles Darwin
Nikola Tesla

 

[BornCane]

My guesses are

Spoiler

In order from left to right,

Albert Einstein
Isaac Newton
Charles Darwin
Nikola Tesla

correct :)

the first 3 are pretty easy...but Tesla i thought would of been more tricky

 

[zoobyshoe]

correct :)

the first 3 are pretty easy...but Tesla i thought would of been more tricky

Because Tesla seems to be holding a slim jim which has nothing to do with anything.

What the hell is that floppy stick thing supposed to be?

 

[zoobyshoe]

For consistency's sake, determine x in the following:

Apple:Newton = Scull:Darwin = x:Tesla

and

Apple:Newton = Scull:Darwin = x:Einstein

 

[BornCane]

Because Tesla seems to be holding a slim jim which has nothing to do with anything.

What the hell is that floppy stick thing supposed to be?

i think its suppose to be a lightbulb he is holding or whatever the heck this is

 

[zoobyshoe]

i think its suppose to be a lightbulb he is holding or whatever the heck this is

He has something like that in his other hand. I'm asking about the thing in his left hand (far right in the picture) that looks like the meaty snack treat, a Slim Jim.

 

[collinsmark]

Because Tesla seems to be holding a slim jim which has nothing to do with anything.

What the hell is that floppy stick thing supposed to be?

Good question. My guess is a cane, like this one from a statue of him (statue is displayed in Niagara Falls). I guess he's holding the cane in the middle in the miniature figurine.

[Source: http://www.teslasociety.com/niagarafalls_tesla.htm]

 

[zoobyshoe]

Good question. My guess is a cane, like this one from a statue of him (statue is displayed in Niagara Falls). I guess he's holding the cane in the middle for the miniature figurine.

Plausible.

But, I think a cane would not be a proper icon-object for him the way Newton's Apple is for Newton. What would a proper icon-object for Tesla be? And for Einstein?

 

[Garlic]

i think its suppose to be a lightbulb he is holding or whatever the heck this is

It looks like a squash.

 

[Psinter]

Boolean this:
View attachment 97533

How many different girls are in this photo?

http://www.dailydot.com/lol/instagram-girls-mirror-photo-optical-illusion/?fb=dd

After much puzzlement, I think I found the answer.

Two, but the bracelets confuse me. I can't see the bracelet of the girl who is looking directly into the mirror.

 

[collinsmark]

Two, but the bracelets confuse me. I can't see the bracelet of the girl who is looking directly into the mirror.

It could be that the bracelets, in any given reflection, are ultimately hidden from view due to being blocked by another wrist (or two). Since each reflection can be characterized by having its own perspective and angle (relative to the camera), this seems plausible. I.e., in some reflections the bracelets are blocked from view, but not in others.

It's tough to tell just by eyeballing it though.

Spoiler

Without detailed analysis though, I would guess there are just two girls.

 

[rootone]

... I don't know what's wrong with holding hands. I think holding hands is awesome. That's a question for some men.

Not really, A handshake between men is a very common gesture indicating agreement.

 

[WWGD]

Boolean this:
View attachment 97533

How many different girls are in this photo?

http://www.dailydot.com/lol/instagram-girls-mirror-photo-optical-illusion/?fb=dd

After much puzzlement, I think I found the answer.

Can't see how Lewis Carroll got a hold of a camera.

 

[rootone]

... it either be photoshopped ...

The background wall gets greener for the more distant girls which could be expected from multiple reflections through glass.
I don't think somebody 'shooping' would think about doing that.

Can't see how Lewis Carroll got a hold of a camera.

HG Wells did.

 

[zoobyshoe]

Spoiler

I think it's two sets of identical twins posed really carefully, but not perfectly. The fifth girl from the left seems to be looking right at the camera, while the first girl on the left is looking off to the left. The fifth is not a repetition of the first, therefore, but is the reflection of the fourth.

Notice that Girl #3 seems to be looking at the camera every time she repeats. That means both #2 and #3 were looking at the camera; #2 at a reflection of it, and #3 directly at it. However, girl #1 was looking to the left while girl #4 (her twin) was looking directly at a reflection of the camera.

Girl #6 has a cleft in her hair (look carefully) that can only be explained as a reflection of the back of the head of girl #3. The same cleft does not appear in the hair of girl #2.

 

[DiracPool]

i think its suppose to be a lightbulb he is holding or whatever the heck this is

That leads me to the random thought, "Is a CRT just a fancy lightbulb?"

 

[Psinter]

It could be that the bracelets, in any given reflection, are ultimately hidden from view due to being blocked by another wrist (or two). Since each reflection can be characterized by having its own perspective and angle (relative to the camera), this seems plausible. I.e., in some reflections the bracelets are blocked from view, but not in others.

It's tough to tell just by eyeballing it though.

Spoiler

Without detailed analysis though, I would guess there are just two girls.

I think so too.

View attachment 97551

Spoiler

I think it's two sets of identical twins posed really carefully, but not perfectly. The fifth girl from the left seems to be looking right at the camera, while the first girl on the left is looking off to the left. The fifth is not a repetition of the first, therefore, but is the reflection of the fourth.

The 5th from the left and the 1st are the same. Look at the piece of hair flying at the right of their heads making a circle. It's the same in both.

 

[zoobyshoe]

I think so too.

The 5th from the left and the 1st are the same. Look at the piece of hair flying at the right of their heads making a circle. It's the same in both.

That piece of hair sticks straight out from the 5th girl. In the first girl, it curves down.

 

[Psinter]

That piece of hair sticks straight out from the 5th girl. In the first girl, it curves down.

Are we talking about the same hair? It's the one that is almost invincible unless you zoom in.