Heather Miller Timeline

  • 450 BCE

    Evolution of the Periodic Table/Elements: Empedocles makes the first claim about elements

    He states that the four elements are earth, fire, water, and air. The belief is that using different combinations and proportions, these four elements made up everything in the universe, including living things. Aristotle learns about Empedocles idea about the elements and supports the idea.
  • 628

    Paradoxes of Division: Brahmagupta's Paradox of Zero

    Brahmagupta comes to his conclusion that if zero is divided by zero, the answer will be zero: 0/0 = 0
  • 830

    Paradoxes of Division: Mahavira's Paradox of Zero

    Mahavira comes to the conclusion that if any integer is divided by zero, the solution would be that same integer. For example: 24/0 = 24
  • 1150

    Paradoxes of Division: Bhaskara's Paradox of Zero

    Bhaskara comes up with the idea that if an integer is divided by zero, the quotient of the solution would be infinity: 24/0 = ∞
  • Paradoxes of Division: John Wallis confirms the ideas of Bhaskara

  • Evolution of the Periodic Table/Elements: Robert Boyle publishes "The Skeptical Chymist"

  • Paradoxes of Division: Jean d'Alembert's Paradox of Negative Numbers

    Jean d'Alembert created a paradox in which he believed that if you divided a positive integer by a negative number, the resulting solution would be negative: aa / (-a) = (-a)
  • Evolution of the Periodic Table/Elements: Lavoisier's Experiments

  • Evolution of the Periodic Table/Elements: Johann Dobereiner publishes his own table of elements

    Dobereiner published his own table of elements. After finding strong patterns between elements, he created his "Law of Triads". This law, which explained that between 3 elements, the middle element has an average atomic weight of the two elements next to it. This law helped other chemists such as A.E. Beguyer organize their own tables.
  • Paradoxes of Division: Martin Ohm's Paradox of Zero

    Martin Ohm came up with the idea that if a number is divided by zero, the solution to the problem would be considered "undefined."
    For example: 24/0 = undefined
  • Evolution of the Periodic Table/Elements: Dmitri Ivanovich Mendeleev creates his periodic table

    This is the first version of what is considered the "modern" periodic table. Mendeleev was originally organizing the elements for his textbook, "Principles of Chemistry", and organized them by family. Once more and more patterns emerged when he was setting up the elements, such as patterns of atomic weight and properties, he was inspired to create a table to organize the elements. After taking the families and patterns into account, he finished his first table.
  • Evolution of the Periodic Table/Elements: J.J. Thomson discovers the electron

    The discovery of the electron impacted how the elements were arranged in the table, due to differences in charges for each element. This also helped explain why the noble gases did not react, it was because of their full electron shells.
  • Evolution of the Periodic Table/Elements: Atomic Number is created

    In 1911, Anton van den Broek noticed that there was a connection between an atom's charge and its atomic weight. This connection comes to be known as atomic number, which is essentially the number of protons found in an atom's nucleus. The creation of the atomic number made organizing the periodic table much easier.
  • Paradoxes of Division: James Anderson and Transreal Arithmetic