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	  <div class="unav"> <a href="../../index.html">The Galileo Project</a> &gt; 
        <a href="../../science.html">Science</a> &gt; <a href="atomism.html">Atomism</a></div>
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      <p class="heading">Atomism</p>
      <p class="main_text">The notion that matter is made up of small, indivisible 
        particles goes back to the ancient Greeks. In the sixth century BCE, thinkers 
        began asking questions about what is the basic underlying reality of the 
        world. In view of the constant change we see in the world around us, is 
        there some substratum (<i>physis</i>, hence our word <i>physics</i>) that 
        is constant? If so, is it material or immaterial, accessible through the 
        senses or only through the mind, is it one or many? Over the next several 
        centuries, these questions were answered in several different ways. Some 
        believed that all was change, others that change was illusory. The Pythagoreans 
        thought that the <i>physis</i> was "number" and pioneered the mathematical 
        approach to nature. Their idealist approach was in stark contrast to that 
        of the materialists, among whom the atomists were most prominent. Leucippus 
        of Miletus (ca. 435 BCE) and Democritus of Abdera (ca. 410 BCE) developed 
        the atomic hypothesis. According to them matter can be subdivided only 
        to a certain point, at which only atoms (that which cannot be cut) remain. 
        The world is made up of atoms moving in the void. Atoms differed from 
        each other only in size and shape, and different substances with their 
        distinct qualities were made up of different shapes, arrangements, and 
        positions of atoms. Atoms were in continuous motion in the infinite void 
        and constantly collided with each other. During these collisions they 
        could rebound or stick together because of hooks and barbs on their surfaces. 
        Thus, underlying the changes in the perceptible world, there was constancy 
        (atoms were neither created nor destroyed); change was caused by the combinations 
        and dissociations of the atoms.
      <p class="main_text"> Democritus gave some examples of how the atomic hypothesis 
        could account for qualities such as color and taste (sharp tastes are 
        caused by sharp atoms), but on the whole atomism, like other contemporary 
        global theories, remained a general theory. It was criticized by Aristotle 
        (384-322 BCE) for some of its logical inconsistencies<a href="#1">[1]</a> 
        and for its inability to explain qualities (color, taste, odor, etc.) 
        that we call (after Galileo) secondary qualities. Aristotle's matter theory 
        was fundamentally qualitative: qualities were built into the fundamental 
        building blocks that made up substances. And against the atomists' idea 
        of a nature without design or purpose, Aristotle constructed a natural 
        philosophy that made nature a purposeful agent.
      <p class="main_text"> In the philosophical system of Epicurus (341-270 BCE), 
        physics was subordinated to ethics. The aim of his philosophy was to overcome 
        irrational fears of natural phenomena and to achieve peace of mind. Epicurus 
        explained natural phenomena by atomism, but he made several modifications 
        to the doctrine in view of Aristotle's criticisms. He distinguished between 
        physical and mathematical divisibility and gave atoms weight. In his system 
        atoms originally fell through the infinite void with equal speeds, until 
        one swerved by a tiny amount. This was an uncaused event. This swerve 
        caused collisions and swirls of atoms, and thus worlds were formed. The 
        Epicurean ethical system was influential over the next several centuries, 
        and one of its Roman practitioners, Lucretius (first century BCE), wrote 
        a long poem about it, <i>De Rerum Natura</i> ("On the Nature of Things"), 
        from which much of our knowledge about atomism derives.
      <p class="main_text"> In the Christian world, nature was seen as the product 
        of a transcendent creator and was therefore fundamentally rational. Aristotelian 
        notions of purpose and order fit the Christian mindset much better. Moreover, 
        in atomism there was an unbridgeable gap between the level of the atoms 
        and the observable phenomena, whereas Aristotelian natural philosophy 
        addressed observable phenomena directly. Aristotle did, however, postulate 
        <i>minima</i>, the theoretical limit of divisibility of substances, and 
        therefore within European Aristotelianism, there was discussion about 
        the meaning of this limit and in some quarters minima took on a corpuscular 
        nature. This train of thought merged with a revived atomism, caused by 
        the recovery of Lucretius's <i>De Rerum Natura</i> ca. 1415 CE, to give 
        rise to a corpuscular doctrine that provided the material foundation of 
        the mechanistic philosophy of the seventeenth century. We must be careful, 
        however, not to think that all those who sought causal explanations in 
        the minute building blocks of matter were atomists. Thus, Descartes (1596-1650) 
        believed that matter was infinitely divisible and had no weight (or mass).
      <p class="main_text"> In his <i>Assayer</i> of 1623, Galileo explained his 
        notion of the difference between those qualities, mostly found by touch, 
        that are inherent in bodies (weight, roughness, smoothness, etc.) and 
        those that are in the mind of the observer (taste, color, etc.)--in other 
        words, the difference between what we call primary and secondary qualities. 
        In this discussion he referred to bodies that "continually dissolve into 
        minute particles"<a href="#2">[2]</a> and stated his opinion that "for 
        exciting in us tastes, odors, and sounds there are required in external 
        bodies anything but sizes, shapes, numbers, and slow or fast movements."<a href="#3">[3]</a> 
        An anonymous cleric filed a report with the <A HREF="../../chr/inquisition.html">Inquisition</A> 
        in which he claimed the first citation to show that Galileo was an atomist 
        and the second to be in conflict with the Council of Trent's pronunciations 
        on the Eucharist.<a href="#4">[4]</a> The report did not lead to any action 
        against Galileo. 
      <p class="main_text"> Galileo's notions about the constitution of matter 
        emerge in his <i>Discourses on Two New Sciences</i> of 1638. In his discussion 
        of cohesion--what holds matter together--he puts forward the notion that 
        objects are made up of an infinite number of infinitely small particles 
        held together by an infinite number of small vacua. He did not go beyond 
        this point, but it is clear that this "atomism" is almost exclusively 
        mathematical.</p>

      <p class="sources"><strong>Notes</strong>:
	  <br> <a name="1">[1]</a> If atoms have different shapes, then they
have parts, and this means that they are <i>mathematically</i> divisible; if
they have different sizes, then among the infinity of their number there must
be atoms as big as the world.<br> <a name="2">[2]</a> Dtillman Drake and C. D.
O'Malley, <i>The Controversy over the Comets of 1618,</i>  (Philadelphia:
University of Pennsylvania Press, 1960), p. 310.<br> <a
name="3">[3]</a> <u>Ibid</u>., p. 311.<br> <a name="4">[4]</a> Maurice A.
Finocchiaro,<i>The Galileo Affair: a Documentuary History,</i>  (Berkley and
Los Angeles: University of California Press, 1989) pp. 202-204.  Pietro
Redondi, <i>Galileo Heretic,</i>   (Princeton: Princeton University Press,
1987), pp. 333-35.
	  </p>
<p class="sources"><strong>Sources</strong>: For a synoptic discussion of
the doctrines of Leucippus and Democritus, as well as for Aristotle's criticism
of them, see G. E. R. Lloyd, <i>Early Greek science: Thales to Aristotle</i>
(London: Chatto &amp; Windus; New York, W. W.  Norton, 1970).  For the
surviving writings of Epicurus, see <i>Epicurus, the Extant Remains</i>, tr.
Cyril Bailey (Hildesheim, New York: G. Olms, 1970).  Lucretius, <i>De Rerum
Natura</i> is available in many good translations; <i>Lucretius on the nature
of the universe</i>, tr. R. E. Latham (Harmondsworth: Penguin Books, 1951) is
the most popular version.  For an overview of the development of atomism in
early modern Europe, see Robert H.  Kargon, <i>Atomism in England from Harriot
to Newton</i> (Oxford: Clarendon Press, 1966).  For Galileo and atomism, see
Pietro Redondi, <i>Galileo Heretic</i>, tr. Raymond Rosenthal (Princeton:
Princeton University Press, 1987).  For Galileo's discussion of vacua and
particles, see <i>Two New Sciences</i>, tr. Stillman Drake (Madison: University
of Wisconsin Press, 1974), pp. 19-34.  For the passage on atoms in Galileo's
<I>Assayer</I>, see Stillman Drake and C.D. O'Malley, <I>The Controversey over
the Comets of 1618</I> (Philadelphia: University of Pennsylvania Press,1960),
pp. 310-311.</p>
 
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