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== '''[[Set theory]]''' ==
== '''[[Spanish missions in California]]''' ==
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A '''set''', in [[mathematics]], is a collection of distinct entities, called its elements, considered as a whole. The early study of sets led to a family of [[paradox]]es and apparent contradictions. It therefore became necessary to abandon "naïve" conceptions of sets, and a precise definition that avoids the paradoxes turns out to be a tricky matter. However, some unproblematic examples from naïve set theory will make the concept clearer. These examples will be used throughout this article:
The '''Spanish missions in California''' comprise a series of twenty-one religious outposts and associated support facilities established by [[Spain|Spaniards]] of the Franciscan Order between 1769 and 1823, in order to spread the [[Catholic]] faith among the local Native American populations. The missions represented the first major effort by [[Europe]]ans to colonize the Pacific Coast region, and gave Spain a valuable toehold in the frontier land. The settlers introduced European livestock, fruits, vegetables, and industry into the region. European contact was a momentous event, which profoundly affected California's native peoples.<ref>Paddison, p. xiv: "''These missionaries, along with the soldiers, merchants, and settlers who emigrated to California before 1848, brought terrible changes to its Indian population''."</ref> In the end, the mission system failed in its objective to convert, educate, and "civilize" the indigenous population in order to transform the California natives into Spanish colonial citizens. <!-- need to better develop this thought train; architecture, literature, other -->Today, the missions are among the state's oldest structures and the most-visited historic monuments.<ref>California Missions Foundation</ref>


* A = the set of the numbers 1, 2 and 3.
===Precontact===
* B = the set of primary light colors -- red, green and blue.
The current prevailing theory postulates that Paleo-Indians entered the Americas in successive waves from [[Asia]] via a land bridge called "Beringia" that connected eastern [[Siberia]] with present-day [[Alaska]] (when sea levels were significantly lower, due to widespread glaciation) between about 15,000 to 35,000 years ago.<ref>Leffingwell, p. 9</ref> The remains of Arlington Springs Man on Santa Rosa Island are among the traces of a very early habitation in California, dated to the last ice age (Wisconsin glaciation) about 13,000 years ago.<ref>Jones and Klar 2007, p. 53: "''Understanding how and when humans first settled California is intimately linked to the initial colonization of the Americas''."</ref><ref>Oakley, p. 1172</ref> The first humans are therefore thought to have made their homes among the southern valleys of California's coastal mountain ranges some 10,000 to 12,000 years ago; the earliest of these people are known only from archaeological evidence.<ref>Paddison, p. 333: The first undisputable archaeological evidence of human presence in California dates back to ''circa'' 8,000 BCE.</ref><ref>Jones and Klar 2005, pp. 369-400: Recent research suggests that the Chumash may have been visited by Polynesians between 400 and 800 CE, nearly 1,000 years before Columbus reached [[North America]]. Although the concept was generally rejected for decades and remains controversial, studies published in peer-reviewed journals have given the idea greater plausibility.</ref> Over the course of thousands of years, California's diverse group of first settlers (later known as "Indians") evolved into hundreds of separate tribal groups, with an equally diverse range of languages, religions, dress, and other customs.<ref>Margolin, pp. 2-6</ref>
* C = the empty set (the set with no elements).
* D = the set of all books in the British Library.
* E = the set of all positive integers, 1, 2, 3, 4, and so on.


Note that the last of these sets is infinite.
''[[Spanish missions in California|.... (read more)]]''
 
A set is the collection of its elements considered as a single, abstract entity. Note that this is different from the elements themselves, and may have different properties. For example, the elements of D are flammable (they are books), but D itself is not flammable, since [[abstract objects]] cannot be burnt.
''[[Set theory|.... (read more)]]''


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! style="text-align: center;" | &nbsp;[[Set theory|notes]]
! style="text-align: center;" | &nbsp;[[Spanish missions in California#Notes|notes]]
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Revision as of 00:59, 30 September 2012

Spanish missions in California


The Spanish missions in California comprise a series of twenty-one religious outposts and associated support facilities established by Spaniards of the Franciscan Order between 1769 and 1823, in order to spread the Catholic faith among the local Native American populations. The missions represented the first major effort by Europeans to colonize the Pacific Coast region, and gave Spain a valuable toehold in the frontier land. The settlers introduced European livestock, fruits, vegetables, and industry into the region. European contact was a momentous event, which profoundly affected California's native peoples.[1] In the end, the mission system failed in its objective to convert, educate, and "civilize" the indigenous population in order to transform the California natives into Spanish colonial citizens. Today, the missions are among the state's oldest structures and the most-visited historic monuments.[2]

Precontact

The current prevailing theory postulates that Paleo-Indians entered the Americas in successive waves from Asia via a land bridge called "Beringia" that connected eastern Siberia with present-day Alaska (when sea levels were significantly lower, due to widespread glaciation) between about 15,000 to 35,000 years ago.[3] The remains of Arlington Springs Man on Santa Rosa Island are among the traces of a very early habitation in California, dated to the last ice age (Wisconsin glaciation) about 13,000 years ago.[4][5] The first humans are therefore thought to have made their homes among the southern valleys of California's coastal mountain ranges some 10,000 to 12,000 years ago; the earliest of these people are known only from archaeological evidence.[6][7] Over the course of thousands of years, California's diverse group of first settlers (later known as "Indians") evolved into hundreds of separate tribal groups, with an equally diverse range of languages, religions, dress, and other customs.[8]

.... (read more)