I'm reading through the Critique of Pure Reason and I'm stuck on the section Resolution of the cosmological idea of the totality of the derivation of occurrences in the world from their causes and likely some succeeding ones.  Here, Kant deals with the issue of the coexistence of free will and empirical causality, however I can't parse what he's trying to say for the life of me. It seems like he's running in a never ending circle of contradiction, whereby all events as appearances are fully determined through empirical causality, and that no series of events can be said to have an absolute beginning, and yet free will is exactly what begins a series of events.  He seems to try to resolve this by differentiating between an intelligible causality and a merely empirical one--but that's exactly what's bothering me. I can't understand what he means by "intelligible causality as opposed to the empirical one", and his writing on this matter is probably the most confused it's ever been in the Critique.  I've read that the central distinction here is time. Empirical causality exists within a time-series. Intelligible causality does not. What does that mean? Clearly there must be points of interaction where intelligible causality enters into the empirical one, can't it be said that a series of appearance-events had thus begun?  Note that I am specifically interested in this metaphysical side of the problem, I do know where he's getting at regarding the practical and regulative use reason has for the idea of freedom.
This is what is supposedly his claim:     My noumenal self is an uncaused cause outside of time, which therefore   is not subject to the deterministic laws of nature in accordance with   which our understanding constructs experience.   How can he say that if a noumenal self has to exist in nature and be bound to body that exists in nature? Also, if his noumenal self is free then so does 7 billion other people's, which is not the case because they all live in a societal structure where everyone has freedom that comes with a bunch conditions as to what is forbidden.
Import pdf form in latex with filled in text Are the XBLA and PC versions of Minecraft compatible? I'm currently making a Minesweeper in C#. I've already done the basics (generating minefield, rules and ui) but I don't know how I should implement when the user clicks a cell and the cell has no mines nearby and clicks nearby cells with also no mines nearby, like this:    And after click    This is my current code on this:  if (MineField(x,y) == false) // If the clicked cell isn't a mine {     if (GetNeighbours(x,y) == 0) // GetNeighbours returns the amount of mines in the closest 8 cells     {         // To be honest, no idea...     } } Inequality $(1+\frac1k)^k \leq 3$ How can I elegantly show that: $(1 + \frac{1}{k})^k \leq 3$ For instance I could use the fact that this is an increasing function and then take $\lim_{ k\to \infty}$ and say that it equals $e$ and therefore is always less than $3$   Is this sufficient? What is a better wording than "increasing function" How should I print types like off_t and size_t? If $f(x)\to 0$ as $x\to\infty$ and $f''$ is bounded, show that $f'(x)\to0$ as $x\to\infty$ Let $f\colon\mathbb R\to\mathbb R$ be twice differentiable with $f(x)\to 0$ as $x\to\infty$ and $f''$ bounded. Show that $f'(x)\to0$ as $x\to\infty$. (This is inspired by  to a different question) How much to tip in the United States? If a spell is cast on a moveable creature/object and lasts longer than a round, and the creature/object moves, does the spell move with it? Has anyone successfully embedded their  on a WordPress.com-hosted blog?  The free hosted version of  (not )  from all posts before publishing. So they to strip out just about anything I can add to embed my Stack Overflow flair.  Note: I'll be switching to a paid, hosted site in the future (fixing the problem), but I'm looking for a quick, short-term solution. Who is sample No. 118 in The Case of Charles Dexter Ward? In H. P. Lovecraft's The Case of Charles Dexter Ward, Dr. Willett      Enters Joseph Curwen's dungeon and resurrects a dead person identified as No. 118 by reciting the incantation of the Ascending Node over his salts.   Dr. Willett is told by      The resurrected Joseph Curwen, impersonating Charles Dexter Ward, who he secretly murdered,   that   " 'twas Number 118, and I conceive you would have shook had you looked it up in my list in t'other room."  No. 118 himself gives Dr. Willett a note asking the doctor to      kill Joseph Curwen.   It soon becomes clear that No. 118 is opposed to the nefarious dealings that have been transpiring and desirous of being an ally of Dr. Willett.  Who is No. 118?  Earlier in the story,      The grave of Ezra Weeden, a primary instigator in Joseph Curwen's initial downfall and the romantic rival of Curwen, is robbed. There doesn't seem to be any other mention of Weeden in the 20th century occurrences, so without a further connection the passage seems superfluous.   The shared goals of these two people seem to indicate that No. 118 may, in fact, have been that person, but the      Note given by No. 118 to Dr. Willett in eighth century Latin seems to indicate someone much older than Ezra Weeden.   It also occurred to me that No. 118 could be      The recently murdered Charles Dexter Ward himself. Ward's reference to killing Dr. Allen (who is actually an alias of Curwen) and dissolving his body with acid and No. 118's mention of doing the same to Curwen seem to support the idea, but that still doesn't explain the archaic note. Ward is described as writing in a somewhat modern style, at least as opposed to Curwen. It also doesn't explain why Curwen would want to murder Ward if he was going to resurrect him later anyway. Map composer issue I would like to prove inductively that $${2n\choose n}=\sum_{i=0}^n{n\choose i}^2.$$  I know a couple of non-inductive proofs, but I can't do it this way. The inductive step eludes me. I tried naively things like $${2n+2\choose n+1}={2n+2\over n+1}{2n+1\choose n}=2\cdot {2n+1\over n+1}{2n\choose n},$$  But I don't think it can lead me anywhere. I would like the proof to be as simple as possible. derivative bounded by a constant multiple of the function $f$ is differentiable on $[a,b]$, $f&#39;(x) \leq A|f(x)|$ where $A$ is a non-negative constant.  If $f(a)=0$ show $f(x)=0, \forall x\in [a,b]$  I imagine the proof uses the Mean Value Theorem but I have not been able to get it to work.  I know $|f(x)|=|f&#39;(c)|(x-a)$ where $c \in [a,x]$, so $|f(x)| \leq A\  |f(c)|(x-a)$ where $c\leq x$ And I guess I could sort of iterate this to keep getting a smaller $c$ but I don't see why it must go all the way to zero. How do you compare two version Strings in Java? I have been trying to make a short clip of a bullet hitting a wine glass with wine in it, but I keep running into the same problem with the add-on. Every time I have used it the result has left me with at least a partial box being generated as several of the fractured pieces.  I have tried subdividing and/or adding a sub-surf modifier but the result only changes where the large distorted fragments end up. I have been having trouble with this for quite some time and I would greatly appreciate any help. I'm hand-maintaining an HTML document, and I'm looking for a way to automatically insert a link around text in a table. Let me illustrate:  &lt;table&gt;&lt;tr&gt;&lt;td class="case"&gt;123456&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;   I would like to automatically make every text in a TD with class "case" a link to that case in our bug tracking system (which, incidentally, is FogBugz).  So I'd like that "123456" to be changed to a link of this form:  &lt;a href="http://bugs.example.com/fogbugz/default.php?123456"&gt;123456&lt;/a&gt;   Is that possible? I've played with the :before and :after pseudo-elements, but there doesn't seem to be a way to repeat the case number. Integration of $e^{ax}\cos bx$ and $e^{ax}\sin bx$ Simplest or nicest proof that $1+x \le e^x$ Let's say I have some data, and then I fit the data with a model (a non-linear regression). Then I calculate the R-squared ($R^2$).  When R-squared is negative, what does that mean? Does that mean my model is bad? I know the range of $R^2$ can be [-1,1]. When $R^2$ is 0, what does that mean as well? Sometimes I have asked a question which got no answers, but is answered in the comments to the question.  How should I handle these questions? I can't accept an answer, so it is never an accepted question.  For example this one:   (ok here the answer in the comments is from me, but nevertheless I also have others of them)