Sabtu, 07 Maret 2009

MATEMATIKA

== Matematika sebagai bahasa ==

Cuma mau share ilmu aja deh, pokoknya sesuatu banget baca ini , haahaaaa

Di manakah letak semua konsep-konsep matematika, misalnya letak [[bilangan]] 1? Banyak para pakar matematika, misalnya para pakar [[Teori Model]] (lihat [[model matematika]]) yg juga mendalami filosofi di balik konsep-konsep matematika bersepakat bahwa semua konsep-konsep matematika secara [[universal]] terdapat di dalam pikiran setiap manusia.

Jadi yang dipelajari dalam matematika adalah berbagai simbol dan ekspresi untuk mengkomunikasikannya. Misalnya orang Jawa secara lisan memberi simbol bilangan 3 dengan mengatakan "Telu", sedangkan dalam bahasa Indonesia, bilangan tersebut disimbolkan melalui ucapan "Tiga". Inilah sebabnya, banyak pakar mengkelompokkan matematika dalam kelompok bahasa, atau lebih umum lagi dalam kelompok (alat) komunikasi, bukan sains.

Dalam pandangan [[formalis]], matematika adalah penelaahan [[struktur abstrak]] yang didefinisikan secara aksioma dengan menggunakan [[logika simbolik]] dan [[notasi matematika]]; ada pula pandangan lain, misalnya yang dibahas dalam [[filosofi matematika]].

Struktur spesifik yang diselidiki oleh matematikawan sering kali berasal dari [[ilmu pengetahuan alam]], dan sangat umum di [[fisika]], tetapi [[matematikawan]] juga mendefinisikan dan menyelidiki struktur internal dalam matematika itu sendiri, misalnya, untuk menggeneralisasikan teori bagi beberapa sub-bidang, atau alat membantu untuk perhitungan biasa. Akhirnya, banyak matematikawan belajar bidang yang dilakukan mereka untuk sebab estetis saja, melihat ilmu pasti sebagai bentuk [[seni]] daripada sebagai [[ilmu]] praktis atau terapan.

Matematika tingkat lanjut digunakan sebagai alat untuk mempelajari berbagai fenomena fisik yg kompleks, khususnya berbagai fenomena alam yang teramati, agar [[pola]] struktur, [[perubahan]], [[ruang]] dan sifat-sifat fenomena bisa didekati atau dinyatakan dalam sebuah bentuk perumusan yg sistematis dan penuh dengan berbagai konvensi, simbol dan notasi. Hasil perumusan yang menggambarkan prilaku atau proses fenomena fisik tersebut biasa disebut [[model matematika]] dari fenomena.


Imagination (Berkesan bangeet)

Imagination is the ability to form a mental image of something that is not perceived through the senses. It is the ability of the mind to built mental scenes, objects or events that do not exist, are not present or have happened in the past. Memory is actually a manifestation of imagination. Everyone possesses some imagination ability. In some it may be highly developed and in others it may manifest in a weaker form. It manifests in various degrees in various people.

Imagination makes it possible to experience a whole world inside the mind. It gives the ability to look at any situation from a different point of view, and enables one to mentally explore the past and the future.

It manifests in various forms, one of which is daydreaming. Though too much idle daydreaming may make one impractical, some daydreaming, when not being engaged in something that requires attention provides some temporary happiness, calmness and relief from stress.

In your imagination you can travel anywhere in the speed of light without any obstacles. It can make you feel free, though temporarily, and only in the mind, from tasks, difficulties and unpleasant circumstances.

Imagination is not limited only to seeing pictures in the mind. It includes all the five senses and the feelings. One can imagine a sound, taste, smell, a physical sensation or a feeling or emotion. For some people it is easier to see mental pictures, others find it easier to imagine a feeling, and some are more comfortable imagining the sensation of one of the five senses. Training of the imagination gives the ability to combine all the senses.

A developed and strong imagination does not make you a daydreamer and impractical. On the contrary, it strengthens your creative abilities, and is a great tool for recreating and remodeling your world and life.

This is a great power that can change your whole life. It is used extensively in magick, creative visualization and affirmations. It is the creator of circumstances and events. When you know how to work with it, you can makey our hearts’ desires come true.

Imagination has a great role and value in each one’s life. It is much more than just idle daydreaming. We all use it, whether consciously or unconsciously, in most of our daily affairs. We use our imagination whenever we plan a party, a trip, our work or a meeting. We use it when we describe an event, explain how to arrive to a certain street, write, tell a story or cook a cake.

Imagination is a creative power that is necessary for inventing an instrument, designing a dress or a building, painting a picture or writing a book. The creative power of imagination has an important role in the achievement of success in any field. What we imagine with faith and feelings comes into being. It is the power beyond creative visualization, positive thinking and affirmations.

Visualizing an object or a situation, and repeating often this mental image, attracts the object or situation into our lives. This opens for us new, vast and fascinating opportunities.

This means that we should think only in a positive manner about our desires, otherwise we may create and attract into our lives events, situations and people that we don’t really want. This is actually what most of us do, because we don’t use the power if imagination correctly.

If you do not recognize the importance of the power of the imagination, and let it run riot, your life may not be as happy and successful as you would have wanted it to be.

Lack of understanding of the power of the imagination is responsible for the suffering, incompetence, difficulties, failures and unhappiness people experience. For some reason, most people are inclined to think in a negative way. They do not expect success. They expect the worst, and when they fail, they believe that fate is against them. This attitude can be changed, and then life will improve accordingly.

Understanding how to use your imagination correctly, and putting this knowledge into practice, for your own and others’ benefit, will put you on the golden path to success, satisfaction and happiness.

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