Dan Herbatschek

Dan Herbatschek is an applied mathematician and author, with a deep passion for the history and philosophy of science. He holds a Summa Cum Laude, Phi Beta Kappa degree from Columbia University, where he concentrated on Intellectual History, Philosophy, and Mathematics. His award-winning thesis, “The Reconstruction of Language and Time: Mathematics, Artificial Languages, and the Changing Idea of Time in the Scientific Revolution,” reflects his fascination with linguistic thought and artificial languages—insights that organically steered him toward exploring mathematics and early artificial intelligence. As the Founder & CEO of Ramsey Theory Group, Dan specializes in bridging the worlds of business and software engineering. He helps translate organizational vision into executable technological solutions. His expertise spans Python and JavaScript programming, data visualizations, machine learning models, and the development of scalable, data-intensive applications. Before launching Ramsey Theory Group, Dan gained valuable experience as an Investment Consultant and a Data Management Consultant in New York. When he’s not immersed in mathematical models or historical inquiry, he writes and curates content for his “Open Mind” blog, exploring topics in philosophy, epistemology, and mathematics. Dan is also passionate about boxing, both as a sport and as a discipline of character, and enjoys sharing his enthusiasm with others He treasures time with his family—especially his wife, his two young daughters, and his baby boy—balancing his academic, professional, and personal interests with care and devotion.
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Probability II

The Cumulative Distribution Function 3.2.1 The Cumulative Distribution Function Definition 3.10The cumulative distribution function CDF of a random variable X is a function  given by Example 3.9: Say we toss a coin twice. Let X be the number of heads we observe....

Probability I

Discrete Random Variables Random Variables Definition: In probability theory, the sample space of an experiment is the set of all possible outcomes of that experiment. Here, we will refer to the sameple space as , though you may also see...

Preparing the Mind for Logic

What is a fact?  A fact is something made or done, which has a clear objective status. There are two basic types of facts: Things and Events. A thing is an existing entity e.g.TheWhiteHouse established by direct or indirect evidence. An event is...

Kuhn’s Philosophy of Science

A Historical Perspective We’ve completed our first pass through logical positivism, having paid special attention to the positivists’ doctrines of empirical meaning and of evidence. We’ve seen, in the positivists own attempts to explain and...

Bayesianism and the Philosophy of Science

Probabilistic Statements The Bayesian approach considers probability statements as subjective, asserting that they represent one’s degrees of belief. It does not impose that one’s degrees of belief should align with frequencies. What Bayesianism requires is...

Kurt Gödel

Incompleteness Mathematicians love simplicity. Back around 1900, their dream was to create a world of math that was cleanly split in two. True statements would all be provable from axioms. The false statements, none of them...

John Rawls

A Theory of Justice In the most prominent work of political philosophy in English in the second half of the 20th century, his 1971 A Theory of Justice, John Rawls’s goal was to justify the welfare...

Positivism and Early Wittgenstein

Modern Physics' influence on Philosophy From 1900–1930, the greatest revolutions in physics since the 17th century had a manifold effect on philosophy: some thinkers came to take philosophy now to be the handmaiden of science;...

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