Is the Notation for the Second Derivative Wrong?

Sorry for my longtime absence on this platform. Was just thinking of you all the other day and thought I’d post. Instead of my normal ID content, I thought I’d post another interesting area for discussion – the Leibniz notation for the second derivative. My contention is that it is wrong in a deep way, though there are enough kludges available to make the numbers work in normal situations, which is why we get correct answers while using the wrong notation.

In short, the Leibniz notation is a ratio of differentials. However, if you actually treated the second derivative as a ratio of differentials you would get the wrong answer. The response is normally “well, it’s just notation, it’s not a real ratio”. I could understand that perspective EXCEPT that there is an ACTUAL RATIO of differentials that you CAN treat directly as a ratio. As such, since there exists a ratio of differentials that works, and the Leibniz notation is not it, that means that the standard Leibniz notation is actually an incorrect ratio of differentials.

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Measuring Active Information in Biological Systems

I thought some of you might be interested to know that a paper of mine was recently published in BIO-Complexity – “Measuring Active Information in Biological Systems.” The goal of the paper is to provide a way of verifying whether (and how much) a mutational process is directed or undirected. I posted an overview of the paper at UD if you don’t have time to read it, but I thought this crowd might enjoy the details more.

Also, for background of why this is relevant, you might read my earlier paper, “Evolutionary Teleonomy as a Unifying Principle of the Extended Evolutionary Synthesis“.

The Case for Cell-Directed Mutations

I recently created a video (sorry, it’s a long one) covering what I view as the evidence that cells direct their own evolution. I’m curious what feedback others have on it.

Sorry about the length, but I cover a large number of topics, and try to explain it in light of all of the misunderstandings about the subject which I have seen.

Alternatives to Methodological Naturalism Preview Session Happening Now

If anyone wants to join us, we are doing an online preview for a conference on Alternatives to Methodological Naturalism. For the preview session, Dr. Sam Rakover is giving a talk on Methodological Dualism in Psychology. Connection information is at the link below.

http://www.uncommondescent.com/intelligent-design/am-nat-conference-preview-session-tomorrow/

Is Darwinian Evolution Teleonomic?

While many ID proposals are based on introducing teleonomy into evolution, I wanted to ask the question as to whether or not evolution, even by a Darwinian definition (i.e., natural selection and materialism) was already teleonomic.

The reason I ask this is because all sorts of things that Darwinian evolution has trouble explaining gets thrown into the basket of “sexual selection”.  Basically, the reason why an organism evolved feature X was because that feature was selected by mating.  In other words, the other organisms appreciated feature X, and therefore copulated and reproduced more with organisms showing more and more of feature X.

I find this interesting, because, especially if taken materialistically, this gives a teleonomic direction to selection, something that Mayr attempted to rule out.

Think of it this way.  If one is a materialist, then what is determining the desires of the organism?  It is the organism’s genetics!  If the organism is desiring a mate, that’s because its genetics is telling it to do so.  If an organism sees mates with feature X as being more desirable, that means its genetics are telling it to do so.  Therefore, the organism’s genes are, in a very direct way, directing the selection process themselves.

Mate selection, under materialism, seems to me to definitely fall under the umbrella of teleonomy.  And, since it governs a large component of the evolutionary process, it seems that one must then say that to a large extent the evolutionary process is teleonomic, even under Darwinian terms.

I’m curious to your thoughts on this.  I am not aware of this idea being discussed in the literature, but if someone has papers or links to other discussions of this, I would love to see them.