The elements of the true arithmetic of infinities

PREFACE.

To most readers who consider the present to be a very enlightened age, it will likely seem shocking to claim that the greatest modern thinkers have failed to add anything significant to the discoveries of ancient mathematicians. In fact, some of their most famous inventions are either completely wrong or are clear examples of how one can reach true conclusions using unscientific and false principles. As strange as this claim may seem, the following basic textbook proves it is true. It shows that all the main ideas in the Arithmetic of Infinites a mathematical work on infinite series by Dr. Wallis are false. It also shows that the Doctrine of Fluxions the early form of calculus developed by Isaac Newton is a structure without a foundation. In the words of the clever Bishop Berkeley George Berkeley, an 18th-century philosopher and critic of the foundations of calculus., it "must be considered only as a guess, a trick, an art, or rather a clever device, but not a scientific proof."

In his book titled The Analyst, page 41.

If this book only pointed out the mistakes of some famous modern figures and defended the scientific precision of the