Problem: The ultimate substantive legacy of Principia Mathematica is mixed. It is generally accepted that Kurt Godel's incompleteness theorem of 1931 definitively demonstrated that for any set of axioms and inference rules proposed to encapsulate mathematics, there would in fact be some truths of mathematics which could not be deduced from them, and hence that Principia Mathematica could never achieve its aims. However, Godel could not have come to this conclusion without Whitehead and Russell's book. In this way, Principia Mathematica's legacy might be described as its key role in disproving the possibility of achieving its own stated goals. But beyond this somewhat ironic legacy, the book popularized modern mathematical logic and drew important connections between logic, epistemology, and metaphysics.
What is the general consensus of the axioms and inference rules not declared in Principia Mathematica?
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Answer: unanswerable

Problem: The noise-based speed is defined as the exposure that will lead to a given signal-to-noise ratio on individual pixels. Two ratios are used, the 40:1 ("excellent image quality") and the 10:1 ("acceptable image quality") ratio. These ratios have been subjectively determined based on a resolution of 70 pixels per cm (178 DPI) when viewed at 25 cm (9.8 inch) distance. The signal-to-noise ratio is defined as the standard deviation of a weighted average of the luminance and color of individual pixels. The noise-based speed is mostly determined by the properties of the sensor and somewhat affected by the noise in the electronic gain and AD converter.
The weighted average of the luminance and the noise in the electronic gain is defined as what?
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Answer: unanswerable

Problem: The GameCube and Wii versions feature several minor differences in their controls. The Wii version of the game makes use of the motion sensors and built-in speaker of the Wii Remote. The speaker emits the sounds of a bowstring when shooting an arrow, Midna's laugh when she gives advice to Link, and the series' trademark "chime" when discovering secrets. The player controls Link's sword by swinging the Wii Remote. Other attacks are triggered using similar gestures with the Nunchuk. Unique to the GameCube version is the ability for the player to control the camera freely, without entering a special "lookaround" mode required by the Wii; however, in the GameCube version, only two of Link's secondary weapons can be equipped at a time, as opposed to four in the Wii version.[g]
How many weapons can be equipped by Midna if playing Twilight Princess on a GameCube?
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Answer:
unanswerable