If you could answer these questions or help me out a little with clarity, it will be greatly appreciated:
SE = standard edition, standard version of java, often named just java X. The other version is EE, more oriented to components.
JDK = java development kit, this is a subset of the sdk that is what you use to develop java app, is a framework.
The version number has 1.7 is named java 7. And you can get both SE version or SDK of this version.
Anyway you can find the whole information at Wikipedia
Yes, it can be confusing.
You didn't ask for it, but I'll start from here. The JVM is the Java Virtual Machine. It is a program that can read compiled Java code (the .class files, and the .jar files that are simply .zip files containing a bunch of .class files packaged together) and execute it. There are many JVMs, for example you need a JVM for Windows, one for Linux, one for OSX etc. but there are also many alternative JVMs, JVMs for embedded device etc. (many will disagree and say that the JVM is only one, and it's a specification. However, commonly a sysadmin will say "the JVM" to indicate the actual binary running on the server).
You didn't ask for the following either. The JRE is the Java Runtime Environment. It includes everything needed to run a Java application, that is the JVM itself, the standard library and a bunch of other files. The standard library is itself very important, because it contains a lot of useful things you'll use when developing Java applications. It contains all the stuff in java.* packages and some private stuff in com.sun, com.oracle packages.
Different versions of Java (1.0, 1.1, etc. all the way to 1.7, also known as Java 7) usually contain improvements to both the JVM and the standard library, so the two usually need to run together, and are packaged together in the JRE.
If you are running any Java program on your computer, you have a JRE installed.
The JDK is the Java Development Kit. It contains the JRE as well as a lot of other useful stuff for developing Java applications. That includes the compiler obviously (which is also contained in the JRE for some good reason, but you can ignore this fact now), the JAR utility to create .jar files, many tools for "decompiling" class files, inspect .jar files, repackage them, etc.
It also usually contains documentation for the standard library and also all the sources of the standard library, because they are useful for developers to read and inspect. If you want to seriously develop Java applications, you need the JDK.
When talking about JavaSE, JavaEE, JavaME etc. those are so called "editions". Basically, since the Java ecosystem is huge, Sun decided to offer Java in different editions:
Regarding numbering, they messed it up quite a bit. Actually, after Java 1.4 they created the JCP, to involve the community in the development of Java itself, and starting from Java 1.5 it is officially named "Java 5", despite most in the industry calling it 1.5. Also, Java 1.2 was Java 2, but everyone I know who was not working in Sun at that time always called it 1.2.
Answer 1: SE stands for Standard Edition. It is mostly like for every JRE nowadays to be in Standard Edition, so you can take Java 7 and Java SE 7 as the same thing.
Answer 2: JDK stands for Java Development Toolkit. Java SE is the technology, and JDK is the set of tools for developing in that technology.
Answer 3: Technically yes. Actually, you're most likely to see "JDK 1.6" alongside "Java 6", "JDK 1.7" alongside "Java 7" and so on.
Answer 4: Same as 3, I guess.
Answer 5: Java's Software Development Kit equals Java's Development Kit, so yes.
This diagram might help:
http://www.oracle.com/technetwork/java/javase/tech/index.html
Is Java 7 just Java SE 7? and Java 6 is Java SE 6?
Yes.
There are a couple of Java "editions", namely Java SE, the "Standard Edition", Java EE, the "Enterprise Edition" and Java ME, the "micro edition".
"Java N" where N is some number refers to the SE. There are separate edition numbers for Java EE which is up to version 6 now. Java ME has its own versions as well - it is currently at version 3. Java ME is intended for mobile and small devices.
Java EE is a set of libraries and interfaces, such as EJB, JMS, JNDI, Servlets/JSPs that are built on top of the Java SE.
Is Java SE 7 also Java JDK 7? and also what is the JDK?
JDK = Java Development Kit. When you download Java you can either get the JRE (Java Runtime Environment) which only lets you run already compiled Java applications or you can get the JDK which allows you to compile and run Java apps. Java SE 7 refers to both the JDK and the JRE.
Does this mean that the java JDK is the same as the java number (Java SE 7)?
Yes.
what is java 1.5 and 1.6? and how does that correspond to the java number (Java SE...)?
Sun's numbering for Java changed midstream and is a bit confusing. They went from 1.0 to 1.1 then 1.2. Then they decided to call 1.2 "Java 2" and that label lasted until Java 1.4. Then Java 5 was called both 1.5 and 5.0 and that has continued - Java 7 is also Java 1.7, Java 6 is also Java 1.6, etc.
Is Java's SDK the same as the JDK?
Yes.