Category/Tag: Tutorials

Cox's Theorem: Is Probability Theory Universal?

Cox's Theorem: Is Probability Theory Universal?

A concise, provocative guide to Cox's theorem and its claim that probability theory uniquely governs rational reasoning under uncertainty, this article unpacks Jaynes’s desiderata and the derivation that links plausibility to the rules of probability, then traces practical consequences for Bayesian inference, decision theory, and modern machine learning—essential reading for researchers, data scientists, and anyone curious about the foundations of probabilistic reasoning.


From Certainty to Belief: How Probability Extends Logic - Part 3

From Certainty to Belief: How Probability Extends Logic - Part 3

In today's blog article, we'll be summarizing how probability acts as an extension of logic rather than as an opponent to it, and why you should care. Be sure to have a look at Part 1 and Part 2 to get a better understanding of how we've gotten to this point.


From Certainty to Belief: How Probability Extends Logic - Part 2

From Certainty to Belief: How Probability Extends Logic - Part 2

In our ongoing discussion of how probability is an extension of logic and why you should care, today's Bruce Nielson article brings us an explanation on how to do deductive logic using only probability theory.


From Certainty to Belief: How Probability Extends Logic - Part 1

From Certainty to Belief: How Probability Extends Logic - Part 1

Some may be quick to assume that logic and probability are opposites, when in fact, one could consider probability an extension of logic. In today's article by Bruce Nielson, we'll be showcasing how this is so, and why it matters to you.


Dice Rolls, Coin Flips, and Death By Asteroid: A Probability Refresher

Dice Rolls, Coin Flips, and Death By Asteroid: A Probability Refresher

Flipping coins or rolling die are a common and comfortable way of showing how probability works. But what about the chance of an asteroid plummeting towards the Earth? How does probability play into that? In today's article by Bruce Nielson, we'll be having a refresher on probability and why you should care to consider it in your business and day-to-day life.


Gemma 3 270M, the Little Model that Can't

Gemma 3 270M, the Little Model that Can't

Google’s latest addition to the Gemma family is small, tidy, and full of promise: Gemma 3 270M. However, despite the promising marketing surrounding it, Gemma 3 270M may not be all it's cracked up to be. See why in our latest blog article on the Mindfire TECH Blog.


Keeping Your AI Chatbot on a Leash: Tiers of Agency

Keeping Your AI Chatbot on a Leash: Tiers of Agency

It is important that our clients and readers understand how AI chatbots work so you know how and where they should be used. As part of that goal, in today's blog article by Bruce Nielson, we'll be diving into how AI chatbots are designed to be efficient and work through tiers of agency when deciding on their responses.


AI Tutorial: A ReAct Agent Using Gemini and Haystack

AI Tutorial: A ReAct Agent Using Gemini and Haystack

In today's article by our in-house expert on AI, Bruce Nielson, we'll be bringing together a number of our previous posts to showcase and share our latest iteration of the Book Search Archive we've been working on, and how you can emulate the same process to build your own AI ReAct Agent.


Using Gemini Function Calling to Build a Research Agent

Using Gemini Function Calling to Build a Research Agent

Creating useful AI Research Agents doesn't need to be an overly complicated process, and in today's AI tutorial, Bruce Nielson will show us how to put together a digital research agent with less than 50 lines of code.


Writing a Robust “Do‑It‑All” Gemini API Caller in Python

Writing a Robust “Do‑It‑All” Gemini API Caller in Python

In our last post, we talked about how Google killed the rate limits on their free tier Gemini API access. As one solution to this problem, in today's AI tutorial by Bruce Nielson, we'll walk you through how to write a simple Python utility that will allow your AI to keep trying even if your reach your rate limit.