Series

Series

Le présent prédictif : langage, temps et l’essor de l’information

Introduction Ce texte constitue l’introduction d’un projet de livre en cours, dont les chapitres seront publiés progressivement.Plus d’informations : thepredictivepresent.com. Par Dan Herbatschek Par une matinée ordinaire,...

The Predictive Present: Language, Time, and the Rise of Information

On an ordinary morning, the future arrives in small, polite suggestions. A phone wakes before we do. It offers the weather as a confidence interval,...

The History of Time: Why Humans Measure Time

Before clocks, before calendars, before numbers, there was the sky. Imagine a hunter in the Paleolithic dusk, crouched at the edge of a forest....

What Makes a Science a Science?

Dan Herbatschek | Philosophy of Science Whenever we ask a big question, it quickly breaks down into smaller ones. What makes a science a science?...

Kierkegaard and the Limits of Reason

Dan Herbatschek Søren Kierkegaard was a singular figure. Alongside Nietzsche, he stands as one of the two 19th-century roots of what would later grow...

Einstein, Measurement, and Meaning

Recognizing that it’s no easy task to pin down the essential features of science, let’s return to the story at hand. In Lecture Two...

Nietzsche’s Critique of Morality

Friedrich Wilhelm Nietzsche is probably the most controversial philosopher who has ever lived in the Western tradition. We will examine his ideas chronologically, from...

How the Money Supply Is Measured: Understanding M0, M1, M2, and Beyond

Why Do We Measure the Money Supply? When people hear “money,” they often think only of the coins and bills in their pocket. But the...

Covering Spaces

This map is a covering map by the same argument from Theorem 2.p on its own takes each unit interval in ℝ and wraps it around the...

What is a DAPP?

The application of the first generation blockchain network was electronic cash. Since then, enhancements have been made to the protocol. The next generation blockchain...

Homotopies

Definition 1.1Let f:X⟶Yand f′:X⟶Ybe two continuous maps of the space X into the space Y. We say that f is homotopic to f′, written f≃f′, if there exists a continuous map F:X×I⟶Ywhere I denotes the interval , such that F(x,0)=f(x)and F(x,1)=f′(x)The...

The Fundamental Group

Definition 2.1 Let X be a space and let x0∈X be an element in that space. We call a path in X that begins and ends at x0 a loop based at x0. The set...

Riemann Integration Part 2

The Riemann Integral is not Enough For the majority of functions you will come across on a regular basis, Riemann integration will work just fine....

Riemann Integration Part 1

The Riemann Integral Riemann integration is a topic you are likely familiar with from calculus class. Here, we are going to define the Riemann integral...

Probability III

Probability Theory Probability Space To start our discussion of probability theory, we first need to define the concept of probability space. For a simple definition, the...

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...

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...

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...

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....

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...

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...

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...

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...

David Hume’s Radical Skepticism

Kant' starting point David Hume, one of the most prominent members of the Scottish Enlightenment, was a multifaceted Enlightenment thinker. Based in Edinburgh, Hume was...

Descartes’ Epistemology

Rationalism and Dualism There were important post-medieval philosophers before Descartes—Renaissance thinkers and early Protestant Reformation scholars who played significant roles in shaping modern thought. However,...

Dan Herbatschek

Dan Herbatschek is an applied mathematician, 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.