I am unable to update my system.

I have some dependency I am unable to fix.

I tried:
<code>
sudo update-initramfs -k all -u
</code>

which spat out:
<code>
update-initramfs: Generating /boot/initrd.img-3.16.0-38-generic

gzip: stdout: No space left on device
E: mkinitramfs failure cpio 141 gzip 1
update-initramfs: failed for /boot/initrd.img-3.16.0-38-generic with 1.
</code>

With some guidance I took a look at http://askubuntu.com/questions/401581/bash-one-liner-to-delete-only-old-kernels

and entered in the dry run option for simulating removing my old kernels to have enough space.
I got:
<code>
Reading package lists... Done
Building dependency tree       
Reading state information... Done
You might want to run 'apt-get -f install' to correct these:
The following packages have unmet dependencies.
 linux-image-extra-3.16.0-39-generic : Depends: linux-image-3.16.0-39-generic but it is not going to be installed
E: Unmet dependencies. Try 'apt-get -f install' with no packages (or specify a solution).
</code>

and so when I:
<code>
sudo apt-get -f install
</code>

then I get:
<code>
Reading package lists... Done
Building dependency tree       
Reading state information... Done
Correcting dependencies... Done
The following packages were automatically installed and are no longer required:
  abiword-common bbswitch-dkms dconf-cli dkms gir1.2-ibus-1.0
  gstreamer1.0-libav hunspell-fr hyphen-en-us ibus ibus-gtk ibus-gtk3
  ibus-pinyin ibus-sunpinyin ibus-table ibus-table-wubi kde-l10n-engb
  kde-l10n-fr kde-l10n-sv kde-l10n-zhcn lib32gcc1 libc6-i386
  libclutter-1.0-common libcogl-common libcuda1-331 libepoxy0 libevdev2
  libfltk1.1-dev libgdome2-0 libgdome2-cpp-smart0c2a libgtkmathview0c2a
  liblink-grammar4 libllvm3.5 libloudmouth1-0 libmbim-glib0 libming1
  libopencc1 libots0 libpyzy-1.0-0 libqmi-glib0 libreoffice-help-en-gb
  libreoffice-help-en-us libreoffice-help-fr libreoffice-help-sv
  libreoffice-help-zh-cn libreoffice-l10n-en-gb libreoffice-l10n-en-za
  libreoffice-l10n-fr libreoffice-l10n-sv libreoffice-l10n-zh-cn libsunpinyin3
  libupstart1 libvdpau1 libwv-1.2-4 link-grammar-dictionaries-en
  linux-headers-3.16.0-30 linux-headers-3.16.0-30-generic
  linux-image-3.16.0-30-generic linux-image-extra-3.16.0-30-generic
  myspell-sv-se mythes-en-au mythes-sv nvidia-prime nvidia-settings
  openoffice.org-hyphenation python-ibus ros-indigo-shape-tools
  screen-resolution-extra sunpinyin-data usb-modeswitch usb-modeswitch-data
Use 'apt-get autoremove' to remove them.
The following extra packages will be installed:
  linux-image-3.16.0-39-generic
Suggested packages:
  fdutils linux-lts-utopic-tools
The following NEW packages will be installed
  linux-image-3.16.0-39-generic
0 to upgrade, 1 to newly install, 0 to remove and 0 not to upgrade.
7 not fully installed or removed.
Need to get 0 B/16.1 MB of archives.
After this operation, 44.8 MB of additional disk space will be used.
Do you want to continue? [Y/n] y
(Reading database ... 591880 files and directories currently installed.)
Preparing to unpack .../linux-image-3.16.0-39-generic_3.16.0-39.53~14.04.1_amd64.deb ...
Done.
Unpacking linux-image-3.16.0-39-generic (3.16.0-39.53~14.04.1) ...
dpkg: error processing archive /var/cache/apt/archives/linux-image-3.16.0-39-generic_3.16.0-39.53~14.04.1_amd64.deb (--unpack):
 cannot copy extracted data for './boot/vmlinuz-3.16.0-39-generic' to '/boot/vmlinuz-3.16.0-39-generic.dpkg-new': failed to write (No space left on device)
No apport report written because the error message indicates a disk full error
                                                                              dpkg-deb: error: subprocess paste was killed by signal (Broken pipe)
Examining /etc/kernel/postrm.d .
run-parts: executing /etc/kernel/postrm.d/initramfs-tools 3.16.0-39-generic /boot/vmlinuz-3.16.0-39-generic
run-parts: executing /etc/kernel/postrm.d/zz-update-grub 3.16.0-39-generic /boot/vmlinuz-3.16.0-39-generic
The link /initrd.img is a damaged link
Removing symbolic link initrd.img 
 you may need to re-run your boot loader[grub]
Errors were encountered while processing:
 /var/cache/apt/archives/linux-image-3.16.0-39-generic_3.16.0-39.53~14.04.1_amd64.deb
E: Sub-process /usr/bin/dpkg returned an error code (1)

</code>

HAVE I ACCIDENTALLY DELETED MY KERNEL???
I am afraid if I restart, my computer is dead... :(

I tried using aptitude, but was told to apt-get it... but when trying apt-get; i get an error in response.