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Use conditional types to make types significantly safer and more robust. (#108)

* Update typings using conditional types to get significantly safer typings.

See the PR description for more details.

* Add a bunch more tests.

* Fix node-version-checking hack to work properly.

- Coerces the major version into a number to ensure proper comparisons with the literal 4.
- Can actually fail now; previously, it would always return 0 because the ternary was
  parenthesized wrong. The condition would get executed, causing the process to immediately
  exit, and the true/false branches were never hit.
- Invert the conditional check so that it can be chained in the shell command properly.
- Quiet the command so that it doesn't log concerning and misleading error messages in the
  build output.

Additionally, I turned off the filename casing check because it wasn't helping and was
failing the build.

* Reorganize types a bit to localize related things and remove indirection.

* Add tests for union and intersection types.

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